What is 5.65 percent of 65.64 - 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 65.64 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 65.64 is 100%, so we can write it down as 65.64=100%.
4. We know, that x is 5.65% of the output value, so we can write it down as x=5.65%.
5. Now we have two simple equations:
1) 65.64=100%
2) x=5.65%
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:
65.64/x=100%/5.65%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 5.65% of 65.64

65.64/x=100/5.65
(65.64/x)*x=(100/5.65)*x       - we multiply both sides of the equation by x
65.64=17.699115044248*x       - we divide both sides of the equation by (17.699115044248) to get x
65.64/17.699115044248=x
3.70866=x
x=3.70866

now we have:
5.65% of 65.64=3.70866