10.78 is what percent of 24.01 - 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 24.01 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 24.01, so we can write it down as 100%=24.01.
4. We know, that x% equals 10.78 of the output value, so we can write it down as x%=10.78.
5. Now we have two simple equations:
1) 100%=24.01
2) x%=10.78
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%=24.01/10.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.78 is what percent of 24.01

100%/x%=24.01/10.78
(100/x)*x=(24.01/10.78)*x       - we multiply both sides of the equation by x
100=2.2272727272727*x       - we divide both sides of the equation by (2.2272727272727) to get x
100/2.2272727272727=x
44.897959183673=x
x=44.897959183673

now we have:
10.78 is 44.897959183673% of 24.01