2.4 is what percent of 71.7 - 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 71.7 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 71.7, so we can write it down as 100%=71.7.
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%=71.7
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%=71.7/2.4
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 71.7

100%/x%=71.7/2.4
(100/x)*x=(71.7/2.4)*x       - we multiply both sides of the equation by x
100=29.875*x       - we divide both sides of the equation by (29.875) to get x
100/29.875=x
3.347280334728=x
x=3.347280334728

now we have:
2.4 is 3.347280334728% of 71.7