102.93 is what percent of 122.74 - 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 122.74 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 122.74, so we can write it down as 100%=122.74.
4. We know, that x% equals 102.93 of the output value, so we can write it down as x%=102.93.
5. Now we have two simple equations:
1) 100%=122.74
2) x%=102.93
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%=122.74/102.93
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 102.93 is what percent of 122.74

100%/x%=122.74/102.93
(100/x)*x=(122.74/102.93)*x       - we multiply both sides of the equation by x
100=1.1924608957544*x       - we divide both sides of the equation by (1.1924608957544) to get x
100/1.1924608957544=x
83.860192276357=x
x=83.860192276357

now we have:
102.93 is 83.860192276357% of 122.74