70.87 is what percent of 88.18 - 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 88.18 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 88.18, so we can write it down as 100%=88.18.
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%=88.18
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%=88.18/70.87
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 88.18

100%/x%=88.18/70.87
(100/x)*x=(88.18/70.87)*x       - we multiply both sides of the equation by x
100=1.2442500352759*x       - we divide both sides of the equation by (1.2442500352759) to get x
100/1.2442500352759=x
80.369698344296=x
x=80.369698344296

now we have:
70.87 is 80.369698344296% of 88.18