180.9 is what percent of 205 - 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 205 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 205, so we can write it down as 100%=205.
4. We know, that x% equals 180.9 of the output value, so we can write it down as x%=180.9.
5. Now we have two simple equations:
1) 100%=205
2) x%=180.9
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%=205/180.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 180.9 is what percent of 205

100%/x%=205/180.9
(100/x)*x=(205/180.9)*x       - we multiply both sides of the equation by x
100=1.1332227750138*x       - we divide both sides of the equation by (1.1332227750138) to get x
100/1.1332227750138=x
88.243902439024=x
x=88.243902439024

now we have:
180.9 is 88.243902439024% of 205