35.7 is what 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 100% equals 64, so we can write it down as 100%=64.
4. We know, that x% equals 35.7 of the output value, so we can write it down as x%=35.7.
5. Now we have two simple equations:
1) 100%=64
2) x%=35.7
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:
100%/x%=64/35.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 35.7 is what percent of 64

100%/x%=64/35.7
(100/x)*x=(64/35.7)*x       - we multiply both sides of the equation by x
100=1.7927170868347*x       - we divide both sides of the equation by (1.7927170868347) to get x
100/1.7927170868347=x
55.78125=x
x=55.78125

now we have:
35.7 is 55.78125% of 64