2.65 is what percent of 26.85 - 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 26.85 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 26.85, so we can write it down as 100%=26.85.
4. We know, that x% equals 2.65 of the output value, so we can write it down as x%=2.65.
5. Now we have two simple equations:
1) 100%=26.85
2) x%=2.65
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%=26.85/2.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.65 is what percent of 26.85

100%/x%=26.85/2.65
(100/x)*x=(26.85/2.65)*x       - we multiply both sides of the equation by x
100=10.132075471698*x       - we divide both sides of the equation by (10.132075471698) to get x
100/10.132075471698=x
9.8696461824953=x
x=9.8696461824953

now we have:
2.65 is 9.8696461824953% of 26.85