24 is what percent of 470 - 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 470 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 470, so we can write it down as 100%=470.
4. We know, that x% equals 24 of the output value, so we can write it down as x%=24.
5. Now we have two simple equations:
1) 100%=470
2) x%=24
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%=470/24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 24 is what percent of 470

100%/x%=470/24
(100/x)*x=(470/24)*x       - we multiply both sides of the equation by x
100=19.5833333333*x       - we divide both sides of the equation by (19.5833333333) to get x
100/19.5833333333=x
5.10638297872=x
x=5.10638297872

now we have:
24 is 5.10638297872% of 470