14.5 is what percent of 148.25 - 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 148.25 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 148.25, so we can write it down as 100%=148.25.
4. We know, that x% equals 14.5 of the output value, so we can write it down as x%=14.5.
5. Now we have two simple equations:
1) 100%=148.25
2) x%=14.5
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%=148.25/14.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 14.5 is what percent of 148.25

100%/x%=148.25/14.5
(100/x)*x=(148.25/14.5)*x       - we multiply both sides of the equation by x
100=10.224137931034*x       - we divide both sides of the equation by (10.224137931034) to get x
100/10.224137931034=x
9.7807757166948=x
x=9.7807757166948

now we have:
14.5 is 9.7807757166948% of 148.25