725.25 is what percent of 906.51 - 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 906.51 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 906.51, so we can write it down as 100%=906.51.
4. We know, that x% equals 725.25 of the output value, so we can write it down as x%=725.25.
5. Now we have two simple equations:
1) 100%=906.51
2) x%=725.25
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%=906.51/725.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 725.25 is what percent of 906.51

100%/x%=906.51/725.25
(100/x)*x=(906.51/725.25)*x       - we multiply both sides of the equation by x
100=1.2499276111686*x       - we divide both sides of the equation by (1.2499276111686) to get x
100/1.2499276111686=x
80.004633153523=x
x=80.004633153523

now we have:
725.25 is 80.004633153523% of 906.51