70.87 is what percent of 525 - 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 525 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 525, so we can write it down as 100%=525.
4. We know, that x% equals 70.87 of the output value, so we can write it down as x%=70.87.
5. Now we have two simple equations:
1) 100%=525
2) x%=70.87
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%=525/70.87
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 70.87 is what percent of 525

100%/x%=525/70.87
(100/x)*x=(525/70.87)*x       - we multiply both sides of the equation by x
100=7.4079300126993*x       - we divide both sides of the equation by (7.4079300126993) to get x
100/7.4079300126993=x
13.499047619048=x
x=13.499047619048

now we have:
70.87 is 13.499047619048% of 525