65 is what percent of 1922 - 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 1922 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 1922, so we can write it down as 100%=1922.
4. We know, that x% equals 65 of the output value, so we can write it down as x%=65.
5. Now we have two simple equations:
1) 100%=1922
2) x%=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%=1922/65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 65 is what percent of 1922

100%/x%=1922/65
(100/x)*x=(1922/65)*x       - we multiply both sides of the equation by x
100=29.569230769231*x       - we divide both sides of the equation by (29.569230769231) to get x
100/29.569230769231=x
3.3818938605619=x
x=3.3818938605619

now we have:
65 is 3.3818938605619% of 1922