23.8 is what percent of 166.6 - 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 166.6 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 166.6, so we can write it down as 100%=166.6.
4. We know, that x% equals 23.8 of the output value, so we can write it down as x%=23.8.
5. Now we have two simple equations:
1) 100%=166.6
2) x%=23.8
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%=166.6/23.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 23.8 is what percent of 166.6

100%/x%=166.6/23.8
(100/x)*x=(166.6/23.8)*x       - we multiply both sides of the equation by x
100=7*x       - we divide both sides of the equation by (7) to get x
100/7=x
14.285714285714=x
x=14.285714285714

now we have:
23.8 is 14.285714285714% of 166.6