94 is what percent of 159 - 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 159 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 159, so we can write it down as 100%=159.
4. We know, that x% equals 94 of the output value, so we can write it down as x%=94.
5. Now we have two simple equations:
1) 100%=159
2) x%=94
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%=159/94
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 94 is what percent of 159

100%/x%=159/94
(100/x)*x=(159/94)*x       - we multiply both sides of the equation by x
100=1.6914893617021*x       - we divide both sides of the equation by (1.6914893617021) to get x
100/1.6914893617021=x
59.119496855346=x
x=59.119496855346

now we have:
94 is 59.119496855346% of 159