9.05 is what percent of 26.65 - 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 26.65 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 26.65, so we can write it down as 100%=26.65.
4. We know, that x% equals 9.05 of the output value, so we can write it down as x%=9.05.
5. Now we have two simple equations:
1) 100%=26.65
2) x%=9.05
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%=26.65/9.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.05 is what percent of 26.65

100%/x%=26.65/9.05
(100/x)*x=(26.65/9.05)*x       - we multiply both sides of the equation by x
100=2.9447513812155*x       - we divide both sides of the equation by (2.9447513812155) to get x
100/2.9447513812155=x
33.958724202627=x
x=33.958724202627

now we have:
9.05 is 33.958724202627% of 26.65