What is 44.25 percent of 80.25 - 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 80.25 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 80.25 is 100%, so we can write it down as 80.25=100%.
4. We know, that x is 44.25% of the output value, so we can write it down as x=44.25%.
5. Now we have two simple equations:
1) 80.25=100%
2) x=44.25%
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:
80.25/x=100%/44.25%
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 44.25% of 80.25

80.25/x=100/44.25
(80.25/x)*x=(100/44.25)*x       - we multiply both sides of the equation by x
80.25=2.2598870056497*x       - we divide both sides of the equation by (2.2598870056497) to get x
80.25/2.2598870056497=x
35.510625=x
x=35.510625

now we have:
44.25% of 80.25=35.510625