122.25 is what percent of 152 - 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 152 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 152, so we can write it down as 100%=152.
4. We know, that x% equals 122.25 of the output value, so we can write it down as x%=122.25.
5. Now we have two simple equations:
1) 100%=152
2) x%=122.25
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%=152/122.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 122.25 is what percent of 152

100%/x%=152/122.25
(100/x)*x=(152/122.25)*x       - we multiply both sides of the equation by x
100=1.2433537832311*x       - we divide both sides of the equation by (1.2433537832311) to get x
100/1.2433537832311=x
80.427631578947=x
x=80.427631578947

now we have:
122.25 is 80.427631578947% of 152