24.2 is what percent of 158.2 - 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 158.2 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 158.2, so we can write it down as 100%=158.2.
4. We know, that x% equals 24.2 of the output value, so we can write it down as x%=24.2.
5. Now we have two simple equations:
1) 100%=158.2
2) x%=24.2
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%=158.2/24.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 24.2 is what percent of 158.2

100%/x%=158.2/24.2
(100/x)*x=(158.2/24.2)*x       - we multiply both sides of the equation by x
100=6.5371900826446*x       - we divide both sides of the equation by (6.5371900826446) to get x
100/6.5371900826446=x
15.297092288243=x
x=15.297092288243

now we have:
24.2 is 15.297092288243% of 158.2