852.9 is what percent of 915 - 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 915 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 915, so we can write it down as 100%=915.
4. We know, that x% equals 852.9 of the output value, so we can write it down as x%=852.9.
5. Now we have two simple equations:
1) 100%=915
2) x%=852.9
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%=915/852.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 852.9 is what percent of 915

100%/x%=915/852.9
(100/x)*x=(915/852.9)*x       - we multiply both sides of the equation by x
100=1.0728104115371*x       - we divide both sides of the equation by (1.0728104115371) to get x
100/1.0728104115371=x
93.213114754098=x
x=93.213114754098

now we have:
852.9 is 93.213114754098% of 915