7842.17 is what percent of 813.6 - 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 813.6 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 813.6, so we can write it down as 100%=813.6.
4. We know, that x% equals 7842.17 of the output value, so we can write it down as x%=7842.17.
5. Now we have two simple equations:
1) 100%=813.6
2) x%=7842.17
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%=813.6/7842.17
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7842.17 is what percent of 813.6

100%/x%=813.6/7842.17
(100/x)*x=(813.6/7842.17)*x       - we multiply both sides of the equation by x
100=0.10374679457344*x       - we divide both sides of the equation by (0.10374679457344) to get x
100/0.10374679457344=x
963.88520157325=x
x=963.88520157325

now we have:
7842.17 is 963.88520157325% of 813.6