70.37 is what percent of 86.8 - 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 86.8 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 86.8, so we can write it down as 100%=86.8.
4. We know, that x% equals 70.37 of the output value, so we can write it down as x%=70.37.
5. Now we have two simple equations:
1) 100%=86.8
2) x%=70.37
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%=86.8/70.37
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 70.37 is what percent of 86.8

100%/x%=86.8/70.37
(100/x)*x=(86.8/70.37)*x       - we multiply both sides of the equation by x
100=1.2334801762115*x       - we divide both sides of the equation by (1.2334801762115) to get x
100/1.2334801762115=x
81.071428571429=x
x=81.071428571429

now we have:
70.37 is 81.071428571429% of 86.8