725.6 is what percent of 916 - 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 916 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 916, so we can write it down as 100%=916.
4. We know, that x% equals 725.6 of the output value, so we can write it down as x%=725.6.
5. Now we have two simple equations:
1) 100%=916
2) x%=725.6
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%=916/725.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 725.6 is what percent of 916

100%/x%=916/725.6
(100/x)*x=(916/725.6)*x       - we multiply both sides of the equation by x
100=1.2624035281147*x       - we divide both sides of the equation by (1.2624035281147) to get x
100/1.2624035281147=x
79.213973799127=x
x=79.213973799127

now we have:
725.6 is 79.213973799127% of 916