47.12 is what percent of 725 - 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 725 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 725, so we can write it down as 100%=725.
4. We know, that x% equals 47.12 of the output value, so we can write it down as x%=47.12.
5. Now we have two simple equations:
1) 100%=725
2) x%=47.12
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%=725/47.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 47.12 is what percent of 725

100%/x%=725/47.12
(100/x)*x=(725/47.12)*x       - we multiply both sides of the equation by x
100=15.386247877759*x       - we divide both sides of the equation by (15.386247877759) to get x
100/15.386247877759=x
6.4993103448276=x
x=6.4993103448276

now we have:
47.12 is 6.4993103448276% of 725