837.72 is what percent of 8762 - 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 8762 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 8762, so we can write it down as 100%=8762.
4. We know, that x% equals 837.72 of the output value, so we can write it down as x%=837.72.
5. Now we have two simple equations:
1) 100%=8762
2) x%=837.72
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%=8762/837.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 837.72 is what percent of 8762

100%/x%=8762/837.72
(100/x)*x=(8762/837.72)*x       - we multiply both sides of the equation by x
100=10.459342023588*x       - we divide both sides of the equation by (10.459342023588) to get x
100/10.459342023588=x
9.5608308605341=x
x=9.5608308605341

now we have:
837.72 is 9.5608308605341% of 8762