917.2 is what percent of 13155 - 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 13155 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 13155, so we can write it down as 100%=13155.
4. We know, that x% equals 917.2 of the output value, so we can write it down as x%=917.2.
5. Now we have two simple equations:
1) 100%=13155
2) x%=917.2
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%=13155/917.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 917.2 is what percent of 13155

100%/x%=13155/917.2
(100/x)*x=(13155/917.2)*x       - we multiply both sides of the equation by x
100=14.34256432621*x       - we divide both sides of the equation by (14.34256432621) to get x
100/14.34256432621=x
6.9722538958571=x
x=6.9722538958571

now we have:
917.2 is 6.9722538958571% of 13155