10.85 is what percent of 23.97 - 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 23.97 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 23.97, so we can write it down as 100%=23.97.
4. We know, that x% equals 10.85 of the output value, so we can write it down as x%=10.85.
5. Now we have two simple equations:
1) 100%=23.97
2) x%=10.85
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%=23.97/10.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.85 is what percent of 23.97

100%/x%=23.97/10.85
(100/x)*x=(23.97/10.85)*x       - we multiply both sides of the equation by x
100=2.2092165898618*x       - we divide both sides of the equation by (2.2092165898618) to get x
100/2.2092165898618=x
45.264914476429=x
x=45.264914476429

now we have:
10.85 is 45.264914476429% of 23.97