359.52 is what percent of 724.42 - 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 724.42 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 724.42, so we can write it down as 100%=724.42.
4. We know, that x% equals 359.52 of the output value, so we can write it down as x%=359.52.
5. Now we have two simple equations:
1) 100%=724.42
2) x%=359.52
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%=724.42/359.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 359.52 is what percent of 724.42

100%/x%=724.42/359.52
(100/x)*x=(724.42/359.52)*x       - we multiply both sides of the equation by x
100=2.0149643969737*x       - we divide both sides of the equation by (2.0149643969737) to get x
100/2.0149643969737=x
49.628668452003=x
x=49.628668452003

now we have:
359.52 is 49.628668452003% of 724.42