159.68 is what percent of 944.25 - 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 944.25 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 944.25, so we can write it down as 100%=944.25.
4. We know, that x% equals 159.68 of the output value, so we can write it down as x%=159.68.
5. Now we have two simple equations:
1) 100%=944.25
2) x%=159.68
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%=944.25/159.68
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 159.68 is what percent of 944.25

100%/x%=944.25/159.68
(100/x)*x=(944.25/159.68)*x       - we multiply both sides of the equation by x
100=5.9133892785571*x       - we divide both sides of the equation by (5.9133892785571) to get x
100/5.9133892785571=x
16.910775747948=x
x=16.910775747948

now we have:
159.68 is 16.910775747948% of 944.25