79.27 is what percent of 1132.5 - 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 1132.5 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 1132.5, so we can write it down as 100%=1132.5.
4. We know, that x% equals 79.27 of the output value, so we can write it down as x%=79.27.
5. Now we have two simple equations:
1) 100%=1132.5
2) x%=79.27
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%=1132.5/79.27
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 79.27 is what percent of 1132.5

100%/x%=1132.5/79.27
(100/x)*x=(1132.5/79.27)*x       - we multiply both sides of the equation by x
100=14.286615365208*x       - we divide both sides of the equation by (14.286615365208) to get x
100/14.286615365208=x
6.9995584988962=x
x=6.9995584988962

now we have:
79.27 is 6.9995584988962% of 1132.5