What is 65.56 percent of 100 - 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 100 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 is 100%, so we can write it down as 100=100%.
4. We know, that x is 65.56% of the output value, so we can write it down as x=65.56%.
5. Now we have two simple equations:
1) 100=100%
2) x=65.56%
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=100%/65.56%
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 65.56% of 100

100/x=100/65.56
(100/x)*x=(100/65.56)*x       - we multiply both sides of the equation by x
100=1.5253203172666*x       - we divide both sides of the equation by (1.5253203172666) to get x
100/1.5253203172666=x
65.56=x
x=65.56

now we have:
65.56% of 100=65.56