85.5 is what percent of 753.5 - 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 753.5 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 753.5, so we can write it down as 100%=753.5.
4. We know, that x% equals 85.5 of the output value, so we can write it down as x%=85.5.
5. Now we have two simple equations:
1) 100%=753.5
2) x%=85.5
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%=753.5/85.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 85.5 is what percent of 753.5

100%/x%=753.5/85.5
(100/x)*x=(753.5/85.5)*x       - we multiply both sides of the equation by x
100=8.812865497076*x       - we divide both sides of the equation by (8.812865497076) to get x
100/8.812865497076=x
11.34704711347=x
x=11.34704711347

now we have:
85.5 is 11.34704711347% of 753.5