98.25 is what percent of 146.45 - 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 146.45 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 146.45, so we can write it down as 100%=146.45.
4. We know, that x% equals 98.25 of the output value, so we can write it down as x%=98.25.
5. Now we have two simple equations:
1) 100%=146.45
2) x%=98.25
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%=146.45/98.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 98.25 is what percent of 146.45

100%/x%=146.45/98.25
(100/x)*x=(146.45/98.25)*x       - we multiply both sides of the equation by x
100=1.4905852417303*x       - we divide both sides of the equation by (1.4905852417303) to get x
100/1.4905852417303=x
67.087743257084=x
x=67.087743257084

now we have:
98.25 is 67.087743257084% of 146.45