517.5 is what percent of 26750 - 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 26750 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 26750, so we can write it down as 100%=26750.
4. We know, that x% equals 517.5 of the output value, so we can write it down as x%=517.5.
5. Now we have two simple equations:
1) 100%=26750
2) x%=517.5
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%=26750/517.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 517.5 is what percent of 26750

100%/x%=26750/517.5
(100/x)*x=(26750/517.5)*x       - we multiply both sides of the equation by x
100=51.690821256039*x       - we divide both sides of the equation by (51.690821256039) to get x
100/51.690821256039=x
1.9345794392523=x
x=1.9345794392523

now we have:
517.5 is 1.9345794392523% of 26750