48.5 is what percent of 167.5 - 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 167.5 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 167.5, so we can write it down as 100%=167.5.
4. We know, that x% equals 48.5 of the output value, so we can write it down as x%=48.5.
5. Now we have two simple equations:
1) 100%=167.5
2) x%=48.5
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%=167.5/48.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 48.5 is what percent of 167.5

100%/x%=167.5/48.5
(100/x)*x=(167.5/48.5)*x       - we multiply both sides of the equation by x
100=3.4536082474227*x       - we divide both sides of the equation by (3.4536082474227) to get x
100/3.4536082474227=x
28.955223880597=x
x=28.955223880597

now we have:
48.5 is 28.955223880597% of 167.5