10.78 is what percent of 24.2 - 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 24.2 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 24.2, so we can write it down as 100%=24.2.
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%=24.2
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%=24.2/10.78
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 24.2

100%/x%=24.2/10.78
(100/x)*x=(24.2/10.78)*x       - we multiply both sides of the equation by x
100=2.2448979591837*x       - we divide both sides of the equation by (2.2448979591837) to get x
100/2.2448979591837=x
44.545454545455=x
x=44.545454545455

now we have:
10.78 is 44.545454545455% of 24.2