What is 48.14 percent of 2.25 - 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 2.25 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 2.25 is 100%, so we can write it down as 2.25=100%.
4. We know, that x is 48.14% of the output value, so we can write it down as x=48.14%.
5. Now we have two simple equations:
1) 2.25=100%
2) x=48.14%
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:
2.25/x=100%/48.14%
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 48.14% of 2.25

2.25/x=100/48.14
(2.25/x)*x=(100/48.14)*x       - we multiply both sides of the equation by x
2.25=2.0772746157042*x       - we divide both sides of the equation by (2.0772746157042) to get x
2.25/2.0772746157042=x
1.08315=x
x=1.08315

now we have:
48.14% of 2.25=1.08315