What is 48 percent of 102.25 - 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 102.25 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 102.25 is 100%, so we can write it down as 102.25=100%.
4. We know, that x is 48% of the output value, so we can write it down as x=48%.
5. Now we have two simple equations:
1) 102.25=100%
2) x=48%
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:
102.25/x=100%/48%
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% of 102.25

102.25/x=100/48
(102.25/x)*x=(100/48)*x       - we multiply both sides of the equation by x
102.25=2.0833333333333*x       - we divide both sides of the equation by (2.0833333333333) to get x
102.25/2.0833333333333=x
49.08=x
x=49.08

now we have:
48% of 102.25=49.08