724.54 is what percent of 1012.54 - 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 1012.54 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 1012.54, so we can write it down as 100%=1012.54.
4. We know, that x% equals 724.54 of the output value, so we can write it down as x%=724.54.
5. Now we have two simple equations:
1) 100%=1012.54
2) x%=724.54
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%=1012.54/724.54
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 724.54 is what percent of 1012.54

100%/x%=1012.54/724.54
(100/x)*x=(1012.54/724.54)*x       - we multiply both sides of the equation by x
100=1.3974935821349*x       - we divide both sides of the equation by (1.3974935821349) to get x
100/1.3974935821349=x
71.556679242302=x
x=71.556679242302

now we have:
724.54 is 71.556679242302% of 1012.54