What is 65.55 percent of 96.5 - 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 96.5 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 96.5 is 100%, so we can write it down as 96.5=100%.
4. We know, that x is 65.55% of the output value, so we can write it down as x=65.55%.
5. Now we have two simple equations:
1) 96.5=100%
2) x=65.55%
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:
96.5/x=100%/65.55%
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 65.55% of 96.5

96.5/x=100/65.55
(96.5/x)*x=(100/65.55)*x       - we multiply both sides of the equation by x
96.5=1.5255530129672*x       - we divide both sides of the equation by (1.5255530129672) to get x
96.5/1.5255530129672=x
63.25575=x
x=63.25575

now we have:
65.55% of 96.5=63.25575