0.65 is what percent of 2.26 - 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 2.26 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 2.26, so we can write it down as 100%=2.26.
4. We know, that x% equals 0.65 of the output value, so we can write it down as x%=0.65.
5. Now we have two simple equations:
1) 100%=2.26
2) x%=0.65
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%=2.26/0.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.65 is what percent of 2.26

100%/x%=2.26/0.65
(100/x)*x=(2.26/0.65)*x       - we multiply both sides of the equation by x
100=3.4769230769231*x       - we divide both sides of the equation by (3.4769230769231) to get x
100/3.4769230769231=x
28.761061946903=x
x=28.761061946903

now we have:
0.65 is 28.761061946903% of 2.26