2.4 is what percent of 39.29 - 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 39.29 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 39.29, so we can write it down as 100%=39.29.
4. We know, that x% equals 2.4 of the output value, so we can write it down as x%=2.4.
5. Now we have two simple equations:
1) 100%=39.29
2) x%=2.4
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%=39.29/2.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.4 is what percent of 39.29

100%/x%=39.29/2.4
(100/x)*x=(39.29/2.4)*x       - we multiply both sides of the equation by x
100=16.370833333333*x       - we divide both sides of the equation by (16.370833333333) to get x
100/16.370833333333=x
6.1084245355052=x
x=6.1084245355052

now we have:
2.4 is 6.1084245355052% of 39.29