72 is what percent of 2571 - 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 2571 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 2571, so we can write it down as 100%=2571.
4. We know, that x% equals 72 of the output value, so we can write it down as x%=72.
5. Now we have two simple equations:
1) 100%=2571
2) x%=72
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%=2571/72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 72 is what percent of 2571

100%/x%=2571/72
(100/x)*x=(2571/72)*x       - we multiply both sides of the equation by x
100=35.708333333333*x       - we divide both sides of the equation by (35.708333333333) to get x
100/35.708333333333=x
2.8004667444574=x
x=2.8004667444574

now we have:
72 is 2.8004667444574% of 2571