916.08 is what percent of 9248.75 - 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 9248.75 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 9248.75, so we can write it down as 100%=9248.75.
4. We know, that x% equals 916.08 of the output value, so we can write it down as x%=916.08.
5. Now we have two simple equations:
1) 100%=9248.75
2) x%=916.08
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%=9248.75/916.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 916.08 is what percent of 9248.75

100%/x%=9248.75/916.08
(100/x)*x=(9248.75/916.08)*x       - we multiply both sides of the equation by x
100=10.096006898961*x       - we divide both sides of the equation by (10.096006898961) to get x
100/10.096006898961=x
9.9049060683876=x
x=9.9049060683876

now we have:
916.08 is 9.9049060683876% of 9248.75