725.93 is what percent of 507.2 - 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 507.2 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 507.2, so we can write it down as 100%=507.2.
4. We know, that x% equals 725.93 of the output value, so we can write it down as x%=725.93.
5. Now we have two simple equations:
1) 100%=507.2
2) x%=725.93
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%=507.2/725.93
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 725.93 is what percent of 507.2

100%/x%=507.2/725.93
(100/x)*x=(507.2/725.93)*x       - we multiply both sides of the equation by x
100=0.69868995633188*x       - we divide both sides of the equation by (0.69868995633188) to get x
100/0.69868995633188=x
143.125=x
x=143.125

now we have:
725.93 is 143.125% of 507.2