515.7 is what percent of 714.43 - 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 714.43 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 714.43, so we can write it down as 100%=714.43.
4. We know, that x% equals 515.7 of the output value, so we can write it down as x%=515.7.
5. Now we have two simple equations:
1) 100%=714.43
2) x%=515.7
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%=714.43/515.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 515.7 is what percent of 714.43

100%/x%=714.43/515.7
(100/x)*x=(714.43/515.7)*x       - we multiply both sides of the equation by x
100=1.385359705255*x       - we divide both sides of the equation by (1.385359705255) to get x
100/1.385359705255=x
72.183418949372=x
x=72.183418949372

now we have:
515.7 is 72.183418949372% of 714.43