159.18 is what percent of 398 - 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 398 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 398, so we can write it down as 100%=398.
4. We know, that x% equals 159.18 of the output value, so we can write it down as x%=159.18.
5. Now we have two simple equations:
1) 100%=398
2) x%=159.18
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%=398/159.18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 159.18 is what percent of 398

100%/x%=398/159.18
(100/x)*x=(398/159.18)*x       - we multiply both sides of the equation by x
100=2.5003141098128*x       - we divide both sides of the equation by (2.5003141098128) to get x
100/2.5003141098128=x
39.994974874372=x
x=39.994974874372

now we have:
159.18 is 39.994974874372% of 398