35.7 is what percent of 65.2 - 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 65.2 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 65.2, so we can write it down as 100%=65.2.
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%=65.2
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%=65.2/35.7
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 65.2

100%/x%=65.2/35.7
(100/x)*x=(65.2/35.7)*x       - we multiply both sides of the equation by x
100=1.8263305322129*x       - we divide both sides of the equation by (1.8263305322129) to get x
100/1.8263305322129=x
54.754601226994=x
x=54.754601226994

now we have:
35.7 is 54.754601226994% of 65.2