85.34 is what percent of 88.62 - 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 88.62 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 88.62, so we can write it down as 100%=88.62.
4. We know, that x% equals 85.34 of the output value, so we can write it down as x%=85.34.
5. Now we have two simple equations:
1) 100%=88.62
2) x%=85.34
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%=88.62/85.34
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 85.34 is what percent of 88.62

100%/x%=88.62/85.34
(100/x)*x=(88.62/85.34)*x       - we multiply both sides of the equation by x
100=1.0384344973049*x       - we divide both sides of the equation by (1.0384344973049) to get x
100/1.0384344973049=x
96.298803881742=x
x=96.298803881742

now we have:
85.34 is 96.298803881742% of 88.62