What is 65 percent of 100.25 - 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 100.25 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 100.25 is 100%, so we can write it down as 100.25=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) 100.25=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:
100.25/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 100.25

100.25/x=100/65
(100.25/x)*x=(100/65)*x       - we multiply both sides of the equation by x
100.25=1.5384615384615*x       - we divide both sides of the equation by (1.5384615384615) to get x
100.25/1.5384615384615=x
65.1625=x
x=65.1625

now we have:
65% of 100.25=65.1625