2.61 is what percent of 13 - 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 13 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 13, so we can write it down as 100%=13.
4. We know, that x% equals 2.61 of the output value, so we can write it down as x%=2.61.
5. Now we have two simple equations:
1) 100%=13
2) x%=2.61
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%=13/2.61
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.61 is what percent of 13

100%/x%=13/2.61
(100/x)*x=(13/2.61)*x       - we multiply both sides of the equation by x
100=4.9808429118774*x       - we divide both sides of the equation by (4.9808429118774) to get x
100/4.9808429118774=x
20.076923076923=x
x=20.076923076923

now we have:
2.61 is 20.076923076923% of 13