159.97 is what percent of 189.95 - 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 189.95 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 189.95, so we can write it down as 100%=189.95.
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%=189.95
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%=189.95/159.97
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 189.95

100%/x%=189.95/159.97
(100/x)*x=(189.95/159.97)*x       - we multiply both sides of the equation by x
100=1.1874101394011*x       - we divide both sides of the equation by (1.1874101394011) to get x
100/1.1874101394011=x
84.216899183996=x
x=84.216899183996

now we have:
159.97 is 84.216899183996% of 189.95