146.5 is what percent of 248.4 - 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 248.4 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 248.4, so we can write it down as 100%=248.4.
4. We know, that x% equals 146.5 of the output value, so we can write it down as x%=146.5.
5. Now we have two simple equations:
1) 100%=248.4
2) x%=146.5
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%=248.4/146.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 146.5 is what percent of 248.4

100%/x%=248.4/146.5
(100/x)*x=(248.4/146.5)*x       - we multiply both sides of the equation by x
100=1.6955631399317*x       - we divide both sides of the equation by (1.6955631399317) to get x
100/1.6955631399317=x
58.977455716586=x
x=58.977455716586

now we have:
146.5 is 58.977455716586% of 248.4