726.05 is what percent of 1270.59 - 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 1270.59 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 1270.59, so we can write it down as 100%=1270.59.
4. We know, that x% equals 726.05 of the output value, so we can write it down as x%=726.05.
5. Now we have two simple equations:
1) 100%=1270.59
2) x%=726.05
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%=1270.59/726.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 726.05 is what percent of 1270.59

100%/x%=1270.59/726.05
(100/x)*x=(1270.59/726.05)*x       - we multiply both sides of the equation by x
100=1.750003443289*x       - we divide both sides of the equation by (1.750003443289) to get x
100/1.750003443289=x
57.142744709151=x
x=57.142744709151

now we have:
726.05 is 57.142744709151% of 1270.59