900.82 is what percent of 11519.04 - 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 11519.04 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 11519.04, so we can write it down as 100%=11519.04.
4. We know, that x% equals 900.82 of the output value, so we can write it down as x%=900.82.
5. Now we have two simple equations:
1) 100%=11519.04
2) x%=900.82
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%=11519.04/900.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 900.82 is what percent of 11519.04

100%/x%=11519.04/900.82
(100/x)*x=(11519.04/900.82)*x       - we multiply both sides of the equation by x
100=12.787282697986*x       - we divide both sides of the equation by (12.787282697986) to get x
100/12.787282697986=x
7.8202697447009=x
x=7.8202697447009

now we have:
900.82 is 7.8202697447009% of 11519.04