What is 65 percent of 65535 - 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 65535 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 65535 is 100%, so we can write it down as 65535=100%.
4. We know, that x is 65% of the output value, so we can write it down as x=65%.
5. Now we have two simple equations:
1) 65535=100%
2) x=65%
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:
65535/x=100%/65%
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% of 65535

65535/x=100/65
(65535/x)*x=(100/65)*x       - we multiply both sides of the equation by x
65535=1.5384615384615*x       - we divide both sides of the equation by (1.5384615384615) to get x
65535/1.5384615384615=x
42597.75=x
x=42597.75

now we have:
65% of 65535=42597.75