# Struct sp_runtime::Perbill

``pub struct Perbill(_);``
Expand description

Re-export top-level arithmetic stuff. A fixed point representation of a number in the range [0, 1].

Parts per Billion

## Implementations

From an explicitly defined number of parts per maximum of the type.

Converts a percent into `Self`. Equal to `x / 100`.

This can be created at compile time.

👎Deprecated: Use `PerThing::from_rational` instead

Integer multiplication with another value, saturating at 1.

Integer division with another value, rounding down.

Saturating division. Compute `self / rhs`, saturating at one if `rhs < self`.

The `rounding` method must be specified. e.g.:

``````let pc = |x| Percent::from_percent(x);
assert_eq!(
pc(2).saturating_div(pc(3), Down),
pc(66),
);
assert_eq!(
pc(1).saturating_div(pc(3), NearestPrefUp),
pc(33),
);
assert_eq!(
pc(2).saturating_div(pc(3), NearestPrefDown),
pc(67),
);
assert_eq!(
pc(1).saturating_div(pc(3), Up),
pc(34),
);``````

Converts a percent into `Self`. Equal to `x / 1000`.

This can be created at compile time.

## Trait Implementations

The resulting type after applying the `+` operator.
Performs the `+` operation. Read more
Returns the smallest finite number this type can represent
Returns the largest finite number this type can represent
Adds two numbers, checking for overflow. If overflow happens, `None` is returned. Read more

#### Note

CheckedMul will never fail for PerThings.

Multiplies two numbers, checking for underflow or overflow. If underflow or overflow happens, `None` is returned. Read more
Subtracts two numbers, checking for underflow. If underflow happens, `None` is returned. Read more
Returns a copy of the value. Read more
Performs copy-assignment from `source`. Read more

Implementation makes any compact encoding of `PerThing::Inner` valid, when decoding it will saturate up to `PerThing::ACCURACY`.

A compact-encodable type that should be used as the encoding.
Returns the compact-encodable type.
Decode `Self` from the compact-decoded type.
Formats the value using the given formatter. Read more
Attempt to deserialise the value from input.
Attempt to skip the encoded value from input. Read more
Returns the fixed encoded size of the type. Read more
Returns the “default value” for a type. Read more
Deserialize this value from the given Serde deserializer. Read more
The resulting type after applying the `/` operator.
Performs the `/` operation. Read more
The resulting type after applying the `/` operator.
Performs the `/` operation. Read more
Convert self to a slice and append it to the destination.
Convert self to an owned vector.
Convert self to a slice and then invoke the given closure with it.
If possible give a hint of expected size of the encoding. Read more
Calculates the encoded size. Read more
Converts to this type from the input type.
Upper bound, in bytes, of the maximum encoded size of this item.

Non-overflow multiplication.

This is tailored to be used with a balance type.

The resulting type after applying the `*` operator.
Performs the `*` operation. Read more
The resulting type after applying the `*` operator.
Performs the `*` operation. Read more
The resulting type after applying the `*` operator.
Performs the `*` operation. Read more
Returns the multiplicative identity element of `Self`, `1`. Read more
Sets `self` to the multiplicative identity element of `Self`, `1`.
Returns `true` if `self` is equal to the multiplicative identity. Read more
This method returns an `Ordering` between `self` and `other`. Read more
Compares and returns the maximum of two values. Read more
Compares and returns the minimum of two values. Read more
Restrict a value to a certain interval. Read more
This method tests for `self` and `other` values to be equal, and is used by `==`. Read more
This method tests for `!=`. The default implementation is almost always sufficient, and should not be overridden without very good reason. Read more
This method returns an ordering between `self` and `other` values if one exists. Read more
This method tests less than (for `self` and `other`) and is used by the `<` operator. Read more
This method tests less than or equal to (for `self` and `other`) and is used by the `<=` operator. Read more
This method tests greater than (for `self` and `other`) and is used by the `>` operator. Read more
This method tests greater than or equal to (for `self` and `other`) and is used by the `>=` operator. Read more

Consume self and return the number of parts per thing.

Build this type from a number of parts per thing.

NOTE: saturate to 0 or 1 if x is beyond `[0, 1]`

The data type used to build this per-thingy.
A data type larger than `Self::Inner`, used to avoid overflow in some computations. It must be able to compute `ACCURACY^2`. Read more
The accuracy of this type.
Approximate the fraction `p/q` into a per-thing fraction. Read more
Equivalent to `Self::from_parts(0)`.
Return `true` if this is nothing.
Equivalent to `Self::from_parts(Self::ACCURACY)`.
Return `true` if this is one.
Return the next lower value to `self` or `self` if it is already zero.
Return the next lower value to `self` or an error with the same value if `self` is already zero. Read more
Return the next higher value to `self` or `self` if it is already one.
Return the next higher value to `self` or an error with the same value if `self` is already one. Read more
Build this type from a percent. Equivalent to `Self::from_parts(x * Self::ACCURACY / 100)` but more accurate and can cope with potential type overflows. Read more
Return the product of multiplication of this value by itself.
Return the part left when `self` is saturating-subtracted from `Self::one()`.
Multiplication that always rounds down to a whole number. The standard `Mul` rounds to the nearest whole number. Read more
Multiplication that always rounds the result up to a whole number. The standard `Mul` rounds to the nearest whole number. Read more
Saturating multiplication by the reciprocal of `self`. The result is rounded to the nearest whole number and saturates at the numeric bounds instead of overflowing. Read more
Saturating multiplication by the reciprocal of `self`. The result is rounded down to the nearest whole number and saturates at the numeric bounds instead of overflowing. Read more
Saturating multiplication by the reciprocal of `self`. The result is rounded up to the nearest whole number and saturates at the numeric bounds instead of overflowing. Read more
Same as `Self::from_float`.
Approximate the fraction `p/q` into a per-thing fraction. This will never overflow. Read more
Same as `Self::from_rational`.
The result after applying the operator.
Returns `self` to the power `rhs`. Read more

Saturating addition. Compute `self + rhs`, saturating at the numeric bounds instead of overflowing. This operation is lossless if it does not saturate.

Saturating subtraction. Compute `self - rhs`, saturating at the numeric bounds instead of overflowing. This operation is lossless if it does not saturate.

Saturating multiply. Compute `self * rhs`, saturating at the numeric bounds instead of overflowing. This operation is lossy.

Saturating exponentiation. Computes `self.pow(exp)`, saturating at the numeric bounds instead of overflowing. This operation is lossy.

Decrement self by one, saturating at zero.
Increment self by one, saturating at the numeric bounds instead of overflowing.
Increment self by one, saturating.
Decrement self by one, saturating at zero.
Increment self by some `amount`, saturating.
Decrement self by some `amount`, saturating at zero.
Saturating addition. Computes `self + other`, saturating at the relevant high or low boundary of the type. Read more
Saturating subtraction. Computes `self - other`, saturating at the relevant high or low boundary of the type. Read more
Serialize this value into the given Serde serializer. Read more
The resulting type after applying the `-` operator.
Performs the `-` operation. Read more
The type identifying for which type info is provided. Read more
Returns the static type identifier for `Self`.
Returns the additive identity element of `Self`, `0`. Read more
Returns `true` if `self` is equal to the additive identity.
Sets `self` to the additive identity element of `Self`, `0`.

## Blanket Implementations

Gets the `TypeId` of `self`. Read more
Immutably borrows from an owned value. Read more
Mutably borrows from an owned value. Read more
Convert from a value of `T` into an equivalent instance of `Option<Self>`. Read more
Consume self to return `Some` equivalent value of `Option<T>`. Read more
True iff no bits are set.
Return the value of Self that is clear.
Decode `Self` and consume all of the given input data. Read more
Decode `Self` and consume all of the given input data. Read more
Decode `Self` with the given maximum recursion depth and advance `input` by the number of bytes consumed. Read more
Convert `Box<dyn Trait>` (where `Trait: Downcast`) to `Box<dyn Any>`. `Box<dyn Any>` can then be further `downcast` into `Box<ConcreteType>` where `ConcreteType` implements `Trait`. Read more
Convert `Rc<Trait>` (where `Trait: Downcast`) to `Rc<Any>`. `Rc<Any>` can then be further `downcast` into `Rc<ConcreteType>` where `ConcreteType` implements `Trait`. Read more
Convert `&Trait` (where `Trait: Downcast`) to `&Any`. This is needed since Rust cannot generate `&Any`’s vtable from `&Trait`’s. Read more
Convert `&mut Trait` (where `Trait: Downcast`) to `&Any`. This is needed since Rust cannot generate `&mut Any`’s vtable from `&mut Trait`’s. Read more
Convert `Arc<Trait>` (where `Trait: Downcast`) to `Arc<Any>`. `Arc<Any>` can then be further `downcast` into `Arc<ConcreteType>` where `ConcreteType` implements `Trait`. Read more
Adds two numbers overwriting the left hand one, checking for overflow. Read more
Performs the conversion returning an `ArithmeticError` if fails. Read more
Performs the conversion returning an `ArithmeticError` if fails. Read more
Multiplies two numbers, checking for overflow. Read more
Multiplies two numbers overwriting the left hand one, checking for overflow. Read more
Subtracts two numbers, checking for overflow. Read more
Subtracts two numbers overwriting the left hand one, checking for overflow. Read more
Compare self to `key` and return `true` if they are equal.
Checks if this value is equivalent to the given key. Read more

Returns the argument unchanged.

The compact type; this can be
Instruments this type with the provided `Span`, returning an `Instrumented` wrapper. Read more
Instruments this type with the current `Span`, returning an `Instrumented` wrapper. Read more

Calls `U::from(self)`.

That is, this conversion is whatever the implementation of `From<T> for U` chooses to do.

Get a reference to the inner from the outer.

Get a mutable reference to the inner from the outer.

Return an encoding of `Self` prepended by given slice.
Returns the smallest finite number this type can represent
The alignment of pointer.
The type for initializers.
Initializes a with the given initializer. Read more
Dereferences the given pointer. Read more
Mutably dereferences the given pointer. Read more
Drops the object pointed to by the given pointer. Read more
Should always be `Self`
Convert from a value of `T` into an equivalent instance of `Self`. Read more
Consume self to return an equivalent value of `T`. Read more
Compare if `self` is `threshold` greater or less than `other`.
The resulting type after obtaining ownership.
Creates owned data from borrowed data, usually by cloning. Read more
Uses borrowed data to replace owned data, usually by cloning. Read more
The type returned in the event of a conversion error.
Performs the conversion.
The type returned in the event of a conversion error.
Performs the conversion.
The counterpart to `unchecked_from`.
Convert from a value of `T` into an equivalent instance of `Self`.
Consume self to return an equivalent value of `T`.
Returns the largest finite number this type can represent
Attaches the provided `Subscriber` to this type, returning a `WithDispatch` wrapper. Read more
Attaches the current default `Subscriber` to this type, returning a `WithDispatch` wrapper. Read more