What is 64.75 percent of 64 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 64 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 64 is 100%, so we can write it down as 64=100%.
4. We know, that x is 64.75% of the output value, so we can write it down as x=64.75%.
5. Now we have two simple equations:
1) 64=100%
2) x=64.75%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
64/x=100%/64.75%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 64.75% of 64

64/x=100/64.75
(64/x)*x=(100/64.75)*x       - we multiply both sides of the equation by x
64=1.5444015444015*x       - we divide both sides of the equation by (1.5444015444015) to get x
64/1.5444015444015=x
41.44=x
x=41.44

now we have:
64.75% of 64=41.44