23.6 is what percent of 17.7 - 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 17.7 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 17.7, so we can write it down as 100%=17.7.
4. We know, that x% equals 23.6 of the output value, so we can write it down as x%=23.6.
5. Now we have two simple equations:
1) 100%=17.7
2) x%=23.6
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%=17.7/23.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 23.6 is what percent of 17.7

100%/x%=17.7/23.6
(100/x)*x=(17.7/23.6)*x       - we multiply both sides of the equation by x
100=0.75*x       - we divide both sides of the equation by (0.75) to get x
100/0.75=x
133.33333333333=x
x=133.33333333333

now we have:
23.6 is 133.33333333333% of 17.7