572.93 is what percent of 1807.7 - 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 1807.7 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 1807.7, so we can write it down as 100%=1807.7.
4. We know, that x% equals 572.93 of the output value, so we can write it down as x%=572.93.
5. Now we have two simple equations:
1) 100%=1807.7
2) x%=572.93
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%=1807.7/572.93
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 572.93 is what percent of 1807.7

100%/x%=1807.7/572.93
(100/x)*x=(1807.7/572.93)*x       - we multiply both sides of the equation by x
100=3.15518475206*x       - we divide both sides of the equation by (3.15518475206) to get x
100/3.15518475206=x
31.6938651325=x
x=31.6938651325

now we have:
572.93 is 31.6938651325% of 1807.7