What is 64.5 percent of 64.5 - 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 64.5 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 64.5 is 100%, so we can write it down as 64.5=100%.
4. We know, that x is 64.5% of the output value, so we can write it down as x=64.5%.
5. Now we have two simple equations:
1) 64.5=100%
2) x=64.5%
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:
64.5/x=100%/64.5%
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 64.5% of 64.5

64.5/x=100/64.5
(64.5/x)*x=(100/64.5)*x       - we multiply both sides of the equation by x
64.5=1.5503875968992*x       - we divide both sides of the equation by (1.5503875968992) to get x
64.5/1.5503875968992=x
41.6025=x
x=41.6025

now we have:
64.5% of 64.5=41.6025