991.08 is what percent of 9812.74 - 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 9812.74 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 9812.74, so we can write it down as 100%=9812.74.
4. We know, that x% equals 991.08 of the output value, so we can write it down as x%=991.08.
5. Now we have two simple equations:
1) 100%=9812.74
2) x%=991.08
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%=9812.74/991.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 991.08 is what percent of 9812.74

100%/x%=9812.74/991.08
(100/x)*x=(9812.74/991.08)*x       - we multiply both sides of the equation by x
100=9.9010574322961*x       - we divide both sides of the equation by (9.9010574322961) to get x
100/9.9010574322961=x
10.099931313782=x
x=10.099931313782

now we have:
991.08 is 10.099931313782% of 9812.74