153.56 is what percent of 188.5 - 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 188.5 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 188.5, so we can write it down as 100%=188.5.
4. We know, that x% equals 153.56 of the output value, so we can write it down as x%=153.56.
5. Now we have two simple equations:
1) 100%=188.5
2) x%=153.56
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%=188.5/153.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 153.56 is what percent of 188.5

100%/x%=188.5/153.56
(100/x)*x=(188.5/153.56)*x       - we multiply both sides of the equation by x
100=1.2275332117739*x       - we divide both sides of the equation by (1.2275332117739) to get x
100/1.2275332117739=x
81.464190981432=x
x=81.464190981432

now we have:
153.56 is 81.464190981432% of 188.5