122.85 is what percent of 225 - 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 225 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 225, so we can write it down as 100%=225.
4. We know, that x% equals 122.85 of the output value, so we can write it down as x%=122.85.
5. Now we have two simple equations:
1) 100%=225
2) x%=122.85
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%=225/122.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 122.85 is what percent of 225

100%/x%=225/122.85
(100/x)*x=(225/122.85)*x       - we multiply both sides of the equation by x
100=1.8315018315018*x       - we divide both sides of the equation by (1.8315018315018) to get x
100/1.8315018315018=x
54.6=x
x=54.6

now we have:
122.85 is 54.6% of 225