752.92 is what percent of 947.32 - 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 947.32 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 947.32, so we can write it down as 100%=947.32.
4. We know, that x% equals 752.92 of the output value, so we can write it down as x%=752.92.
5. Now we have two simple equations:
1) 100%=947.32
2) x%=752.92
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%=947.32/752.92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 752.92 is what percent of 947.32

100%/x%=947.32/752.92
(100/x)*x=(947.32/752.92)*x       - we multiply both sides of the equation by x
100=1.2581947617277*x       - we divide both sides of the equation by (1.2581947617277) to get x
100/1.2581947617277=x
79.478951146392=x
x=79.478951146392

now we have:
752.92 is 79.478951146392% of 947.32