159.62 is what percent of 660.63 - 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 660.63 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 660.63, so we can write it down as 100%=660.63.
4. We know, that x% equals 159.62 of the output value, so we can write it down as x%=159.62.
5. Now we have two simple equations:
1) 100%=660.63
2) x%=159.62
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%=660.63/159.62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 159.62 is what percent of 660.63

100%/x%=660.63/159.62
(100/x)*x=(660.63/159.62)*x       - we multiply both sides of the equation by x
100=4.1387670717955*x       - we divide both sides of the equation by (4.1387670717955) to get x
100/4.1387670717955=x
24.161784962839=x
x=24.161784962839

now we have:
159.62 is 24.161784962839% of 660.63