93.13 is what percent of 1082 - 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 1082 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 1082, so we can write it down as 100%=1082.
4. We know, that x% equals 93.13 of the output value, so we can write it down as x%=93.13.
5. Now we have two simple equations:
1) 100%=1082
2) x%=93.13
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%=1082/93.13
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 93.13 is what percent of 1082

100%/x%=1082/93.13
(100/x)*x=(1082/93.13)*x       - we multiply both sides of the equation by x
100=11.618168152046*x       - we divide both sides of the equation by (11.618168152046) to get x
100/11.618168152046=x
8.6072088724584=x
x=8.6072088724584

now we have:
93.13 is 8.6072088724584% of 1082