24 is what percent of 142.7 - 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 142.7 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 142.7, so we can write it down as 100%=142.7.
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%=142.7
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%=142.7/24
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 142.7

100%/x%=142.7/24
(100/x)*x=(142.7/24)*x       - we multiply both sides of the equation by x
100=5.9458333333333*x       - we divide both sides of the equation by (5.9458333333333) to get x
100/5.9458333333333=x
16.818500350385=x
x=16.818500350385

now we have:
24 is 16.818500350385% of 142.7