72.98 is what percent of 148.96 - 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 148.96 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 148.96, so we can write it down as 100%=148.96.
4. We know, that x% equals 72.98 of the output value, so we can write it down as x%=72.98.
5. Now we have two simple equations:
1) 100%=148.96
2) x%=72.98
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%=148.96/72.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 72.98 is what percent of 148.96

100%/x%=148.96/72.98
(100/x)*x=(148.96/72.98)*x       - we multiply both sides of the equation by x
100=2.0411071526446*x       - we divide both sides of the equation by (2.0411071526446) to get x
100/2.0411071526446=x
48.993018259936=x
x=48.993018259936

now we have:
72.98 is 48.993018259936% of 148.96