8.42 is what percent of 24 - 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 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, so we can write it down as 100%=24.
4. We know, that x% equals 8.42 of the output value, so we can write it down as x%=8.42.
5. Now we have two simple equations:
1) 100%=24
2) x%=8.42
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%=24/8.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.42 is what percent of 24

100%/x%=24/8.42
(100/x)*x=(24/8.42)*x       - we multiply both sides of the equation by x
100=2.8503562945368*x       - we divide both sides of the equation by (2.8503562945368) to get x
100/2.8503562945368=x
35.083333333333=x
x=35.083333333333

now we have:
8.42 is 35.083333333333% of 24