122.42 is what percent of 192.04 - 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 192.04 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 192.04, so we can write it down as 100%=192.04.
4. We know, that x% equals 122.42 of the output value, so we can write it down as x%=122.42.
5. Now we have two simple equations:
1) 100%=192.04
2) x%=122.42
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%=192.04/122.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 122.42 is what percent of 192.04

100%/x%=192.04/122.42
(100/x)*x=(192.04/122.42)*x       - we multiply both sides of the equation by x
100=1.5686979251756*x       - we divide both sides of the equation by (1.5686979251756) to get x
100/1.5686979251756=x
63.747136013331=x
x=63.747136013331

now we have:
122.42 is 63.747136013331% of 192.04