72.5 is what percent of 282.9 - 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 282.9 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 282.9, so we can write it down as 100%=282.9.
4. We know, that x% equals 72.5 of the output value, so we can write it down as x%=72.5.
5. Now we have two simple equations:
1) 100%=282.9
2) x%=72.5
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%=282.9/72.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 72.5 is what percent of 282.9

100%/x%=282.9/72.5
(100/x)*x=(282.9/72.5)*x       - we multiply both sides of the equation by x
100=3.9020689655172*x       - we divide both sides of the equation by (3.9020689655172) to get x
100/3.9020689655172=x
25.627430187345=x
x=25.627430187345

now we have:
72.5 is 25.627430187345% of 282.9