159.97 is what percent of 188.95 - 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 188.95 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 188.95, so we can write it down as 100%=188.95.
4. We know, that x% equals 159.97 of the output value, so we can write it down as x%=159.97.
5. Now we have two simple equations:
1) 100%=188.95
2) x%=159.97
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%=188.95/159.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 159.97 is what percent of 188.95

100%/x%=188.95/159.97
(100/x)*x=(188.95/159.97)*x       - we multiply both sides of the equation by x
100=1.1811589673064*x       - we divide both sides of the equation by (1.1811589673064) to get x
100/1.1811589673064=x
84.662609155861=x
x=84.662609155861

now we have:
159.97 is 84.662609155861% of 188.95