9.75 is what percent of 39.25 - 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 39.25 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 39.25, so we can write it down as 100%=39.25.
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%=39.25
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%=39.25/9.75
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 39.25

100%/x%=39.25/9.75
(100/x)*x=(39.25/9.75)*x       - we multiply both sides of the equation by x
100=4.025641025641*x       - we divide both sides of the equation by (4.025641025641) to get x
100/4.025641025641=x
24.84076433121=x
x=24.84076433121

now we have:
9.75 is 24.84076433121% of 39.25