63 is what percent of 2572 - 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 2572 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 2572, so we can write it down as 100%=2572.
4. We know, that x% equals 63 of the output value, so we can write it down as x%=63.
5. Now we have two simple equations:
1) 100%=2572
2) x%=63
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%=2572/63
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 63 is what percent of 2572

100%/x%=2572/63
(100/x)*x=(2572/63)*x       - we multiply both sides of the equation by x
100=40.825396825397*x       - we divide both sides of the equation by (40.825396825397) to get x
100/40.825396825397=x
2.4494556765163=x
x=2.4494556765163

now we have:
63 is 2.4494556765163% of 2572