159.24 is what percent of 798.75 - 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 798.75 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 798.75, so we can write it down as 100%=798.75.
4. We know, that x% equals 159.24 of the output value, so we can write it down as x%=159.24.
5. Now we have two simple equations:
1) 100%=798.75
2) x%=159.24
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%=798.75/159.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 159.24 is what percent of 798.75

100%/x%=798.75/159.24
(100/x)*x=(798.75/159.24)*x       - we multiply both sides of the equation by x
100=5.016013564431*x       - we divide both sides of the equation by (5.016013564431) to get x
100/5.016013564431=x
19.936150234742=x
x=19.936150234742

now we have:
159.24 is 19.936150234742% of 798.75