123.58 is what percent of 165.31 - 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 165.31 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 165.31, so we can write it down as 100%=165.31.
4. We know, that x% equals 123.58 of the output value, so we can write it down as x%=123.58.
5. Now we have two simple equations:
1) 100%=165.31
2) x%=123.58
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%=165.31/123.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 123.58 is what percent of 165.31

100%/x%=165.31/123.58
(100/x)*x=(165.31/123.58)*x       - we multiply both sides of the equation by x
100=1.3376759993526*x       - we divide both sides of the equation by (1.3376759993526) to get x
100/1.3376759993526=x
74.756518056984=x
x=74.756518056984

now we have:
123.58 is 74.756518056984% of 165.31