98.5 is what percent of 125.2 - 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 125.2 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 125.2, so we can write it down as 100%=125.2.
4. We know, that x% equals 98.5 of the output value, so we can write it down as x%=98.5.
5. Now we have two simple equations:
1) 100%=125.2
2) x%=98.5
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%=125.2/98.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 98.5 is what percent of 125.2

100%/x%=125.2/98.5
(100/x)*x=(125.2/98.5)*x       - we multiply both sides of the equation by x
100=1.2710659898477*x       - we divide both sides of the equation by (1.2710659898477) to get x
100/1.2710659898477=x
78.674121405751=x
x=78.674121405751

now we have:
98.5 is 78.674121405751% of 125.2