75.25 is what percent of 98.78 - 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 98.78 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 98.78, so we can write it down as 100%=98.78.
4. We know, that x% equals 75.25 of the output value, so we can write it down as x%=75.25.
5. Now we have two simple equations:
1) 100%=98.78
2) x%=75.25
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%=98.78/75.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 75.25 is what percent of 98.78

100%/x%=98.78/75.25
(100/x)*x=(98.78/75.25)*x       - we multiply both sides of the equation by x
100=1.3126910299003*x       - we divide both sides of the equation by (1.3126910299003) to get x
100/1.3126910299003=x
76.17938854019=x
x=76.17938854019

now we have:
75.25 is 76.17938854019% of 98.78