9.75 is what percent of 825.5 - 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 825.5 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 825.5, so we can write it down as 100%=825.5.
4. We know, that x% equals 9.75 of the output value, so we can write it down as x%=9.75.
5. Now we have two simple equations:
1) 100%=825.5
2) x%=9.75
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%=825.5/9.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.75 is what percent of 825.5

100%/x%=825.5/9.75
(100/x)*x=(825.5/9.75)*x       - we multiply both sides of the equation by x
100=84.666666666667*x       - we divide both sides of the equation by (84.666666666667) to get x
100/84.666666666667=x
1.1811023622047=x
x=1.1811023622047

now we have:
9.75 is 1.1811023622047% of 825.5