41.68 is what percent of 61.23 - 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 61.23 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 61.23, so we can write it down as 100%=61.23.
4. We know, that x% equals 41.68 of the output value, so we can write it down as x%=41.68.
5. Now we have two simple equations:
1) 100%=61.23
2) x%=41.68
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%=61.23/41.68
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 41.68 is what percent of 61.23

100%/x%=61.23/41.68
(100/x)*x=(61.23/41.68)*x       - we multiply both sides of the equation by x
100=1.4690499040307*x       - we divide both sides of the equation by (1.4690499040307) to get x
100/1.4690499040307=x
68.07120692471=x
x=68.07120692471

now we have:
41.68 is 68.07120692471% of 61.23