8092.5 is what percent of 124.5 - 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 124.5 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 124.5, so we can write it down as 100%=124.5.
4. We know, that x% equals 8092.5 of the output value, so we can write it down as x%=8092.5.
5. Now we have two simple equations:
1) 100%=124.5
2) x%=8092.5
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%=124.5/8092.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8092.5 is what percent of 124.5

100%/x%=124.5/8092.5
(100/x)*x=(124.5/8092.5)*x       - we multiply both sides of the equation by x
100=0.015384615384615*x       - we divide both sides of the equation by (0.015384615384615) to get x
100/0.015384615384615=x
6500=x
x=6500

now we have:
8092.5 is 6500% of 124.5