13.42 is what percent of 41.58 - 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 41.58 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 41.58, so we can write it down as 100%=41.58.
4. We know, that x% equals 13.42 of the output value, so we can write it down as x%=13.42.
5. Now we have two simple equations:
1) 100%=41.58
2) x%=13.42
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%=41.58/13.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.42 is what percent of 41.58

100%/x%=41.58/13.42
(100/x)*x=(41.58/13.42)*x       - we multiply both sides of the equation by x
100=3.0983606557377*x       - we divide both sides of the equation by (3.0983606557377) to get x
100/3.0983606557377=x
32.275132275132=x
x=32.275132275132

now we have:
13.42 is 32.275132275132% of 41.58