660.95 is what percent of 724 - 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 724 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 724, so we can write it down as 100%=724.
4. We know, that x% equals 660.95 of the output value, so we can write it down as x%=660.95.
5. Now we have two simple equations:
1) 100%=724
2) x%=660.95
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%=724/660.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 660.95 is what percent of 724

100%/x%=724/660.95
(100/x)*x=(724/660.95)*x       - we multiply both sides of the equation by x
100=1.0953929949315*x       - we divide both sides of the equation by (1.0953929949315) to get x
100/1.0953929949315=x
91.291436464088=x
x=91.291436464088

now we have:
660.95 is 91.291436464088% of 724