159.6 is what percent of 368.6 - 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 368.6 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 368.6, so we can write it down as 100%=368.6.
4. We know, that x% equals 159.6 of the output value, so we can write it down as x%=159.6.
5. Now we have two simple equations:
1) 100%=368.6
2) x%=159.6
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%=368.6/159.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 159.6 is what percent of 368.6

100%/x%=368.6/159.6
(100/x)*x=(368.6/159.6)*x       - we multiply both sides of the equation by x
100=2.3095238095238*x       - we divide both sides of the equation by (2.3095238095238) to get x
100/2.3095238095238=x
43.298969072165=x
x=43.298969072165

now we have:
159.6 is 43.298969072165% of 368.6