96.75 is what percent of 1016.75 - 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 1016.75 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 1016.75, so we can write it down as 100%=1016.75.
4. We know, that x% equals 96.75 of the output value, so we can write it down as x%=96.75.
5. Now we have two simple equations:
1) 100%=1016.75
2) x%=96.75
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%=1016.75/96.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 96.75 is what percent of 1016.75

100%/x%=1016.75/96.75
(100/x)*x=(1016.75/96.75)*x       - we multiply both sides of the equation by x
100=10.509043927649*x       - we divide both sides of the equation by (10.509043927649) to get x
100/10.509043927649=x
9.5156134743054=x
x=9.5156134743054

now we have:
96.75 is 9.5156134743054% of 1016.75