78 is what percent of 97.5 - 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 97.5 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 97.5, so we can write it down as 100%=97.5.
4. We know, that x% equals 78 of the output value, so we can write it down as x%=78.
5. Now we have two simple equations:
1) 100%=97.5
2) x%=78
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%=97.5/78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 78 is what percent of 97.5

100%/x%=97.5/78
(100/x)*x=(97.5/78)*x       - we multiply both sides of the equation by x
100=1.25*x       - we divide both sides of the equation by (1.25) to get x
100/1.25=x
80=x
x=80

now we have:
78 is 80% of 97.5