47.96 is what percent of 162.08 - 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 162.08 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 162.08, so we can write it down as 100%=162.08.
4. We know, that x% equals 47.96 of the output value, so we can write it down as x%=47.96.
5. Now we have two simple equations:
1) 100%=162.08
2) x%=47.96
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%=162.08/47.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 47.96 is what percent of 162.08

100%/x%=162.08/47.96
(100/x)*x=(162.08/47.96)*x       - we multiply both sides of the equation by x
100=3.3794829024187*x       - we divide both sides of the equation by (3.3794829024187) to get x
100/3.3794829024187=x
29.590325765054=x
x=29.590325765054

now we have:
47.96 is 29.590325765054% of 162.08