What is 66.36 percent of 63.65 - 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 63.65 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 63.65 is 100%, so we can write it down as 63.65=100%.
4. We know, that x is 66.36% of the output value, so we can write it down as x=66.36%.
5. Now we have two simple equations:
1) 63.65=100%
2) x=66.36%
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:
63.65/x=100%/66.36%
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 66.36% of 63.65

63.65/x=100/66.36
(63.65/x)*x=(100/66.36)*x       - we multiply both sides of the equation by x
63.65=1.5069318866787*x       - we divide both sides of the equation by (1.5069318866787) to get x
63.65/1.5069318866787=x
42.23814=x
x=42.23814

now we have:
66.36% of 63.65=42.23814