85.32 is what percent of 93.58 - 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 93.58 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 93.58, so we can write it down as 100%=93.58.
4. We know, that x% equals 85.32 of the output value, so we can write it down as x%=85.32.
5. Now we have two simple equations:
1) 100%=93.58
2) x%=85.32
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%=93.58/85.32
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 85.32 is what percent of 93.58

100%/x%=93.58/85.32
(100/x)*x=(93.58/85.32)*x       - we multiply both sides of the equation by x
100=1.0968120018753*x       - we divide both sides of the equation by (1.0968120018753) to get x
100/1.0968120018753=x
91.17332763411=x
x=91.17332763411

now we have:
85.32 is 91.17332763411% of 93.58