123.06 is what percent of 237.84 - 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 237.84 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 237.84, so we can write it down as 100%=237.84.
4. We know, that x% equals 123.06 of the output value, so we can write it down as x%=123.06.
5. Now we have two simple equations:
1) 100%=237.84
2) x%=123.06
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%=237.84/123.06
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 123.06 is what percent of 237.84

100%/x%=237.84/123.06
(100/x)*x=(237.84/123.06)*x       - we multiply both sides of the equation by x
100=1.9327157484154*x       - we divide both sides of the equation by (1.9327157484154) to get x
100/1.9327157484154=x
51.740665993946=x
x=51.740665993946

now we have:
123.06 is 51.740665993946% of 237.84