What is 103.37 percent of 103.64 - 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 103.64 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 103.64 is 100%, so we can write it down as 103.64=100%.
4. We know, that x is 103.37% of the output value, so we can write it down as x=103.37%.
5. Now we have two simple equations:
1) 103.64=100%
2) x=103.37%
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:
103.64/x=100%/103.37%
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 103.37% of 103.64

103.64/x=100/103.37
(103.64/x)*x=(100/103.37)*x       - we multiply both sides of the equation by x
103.64=0.96739866498984*x       - we divide both sides of the equation by (0.96739866498984) to get x
103.64/0.96739866498984=x
107.132668=x
x=107.132668

now we have:
103.37% of 103.64=107.132668