9.75 is what percent of 23.85 - 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 23.85 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 23.85, so we can write it down as 100%=23.85.
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%=23.85
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%=23.85/9.75
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 23.85

100%/x%=23.85/9.75
(100/x)*x=(23.85/9.75)*x       - we multiply both sides of the equation by x
100=2.4461538461538*x       - we divide both sides of the equation by (2.4461538461538) to get x
100/2.4461538461538=x
40.880503144654=x
x=40.880503144654

now we have:
9.75 is 40.880503144654% of 23.85