41.31 is what percent of 62.9 - 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 62.9 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 62.9, so we can write it down as 100%=62.9.
4. We know, that x% equals 41.31 of the output value, so we can write it down as x%=41.31.
5. Now we have two simple equations:
1) 100%=62.9
2) x%=41.31
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%=62.9/41.31
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 41.31 is what percent of 62.9

100%/x%=62.9/41.31
(100/x)*x=(62.9/41.31)*x       - we multiply both sides of the equation by x
100=1.522633744856*x       - we divide both sides of the equation by (1.522633744856) to get x
100/1.522633744856=x
65.675675675676=x
x=65.675675675676

now we have:
41.31 is 65.675675675676% of 62.9