8502.79 is what percent of 20705.4 - 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 20705.4 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 20705.4, so we can write it down as 100%=20705.4.
4. We know, that x% equals 8502.79 of the output value, so we can write it down as x%=8502.79.
5. Now we have two simple equations:
1) 100%=20705.4
2) x%=8502.79
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%=20705.4/8502.79
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8502.79 is what percent of 20705.4

100%/x%=20705.4/8502.79
(100/x)*x=(20705.4/8502.79)*x       - we multiply both sides of the equation by x
100=2.4351301161148*x       - we divide both sides of the equation by (2.4351301161148) to get x
100/2.4351301161148=x
41.065567436514=x
x=41.065567436514

now we have:
8502.79 is 41.065567436514% of 20705.4