102.92 is what percent of 123.75 - 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 123.75 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 123.75, so we can write it down as 100%=123.75.
4. We know, that x% equals 102.92 of the output value, so we can write it down as x%=102.92.
5. Now we have two simple equations:
1) 100%=123.75
2) x%=102.92
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%=123.75/102.92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 102.92 is what percent of 123.75

100%/x%=123.75/102.92
(100/x)*x=(123.75/102.92)*x       - we multiply both sides of the equation by x
100=1.2023902059852*x       - we divide both sides of the equation by (1.2023902059852) to get x
100/1.2023902059852=x
83.167676767677=x
x=83.167676767677

now we have:
102.92 is 83.167676767677% of 123.75