13.42 is what percent of 26.247 - 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 26.247 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 26.247, so we can write it down as 100%=26.247.
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%=26.247
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%=26.247/13.42
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 26.247

100%/x%=26.247/13.42
(100/x)*x=(26.247/13.42)*x       - we multiply both sides of the equation by x
100=1.9558122205663*x       - we divide both sides of the equation by (1.9558122205663) to get x
100/1.9558122205663=x
51.129652912714=x
x=51.129652912714

now we have:
13.42 is 51.129652912714% of 26.247