What is 48.11 percent of 72.21 - 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 72.21 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 72.21 is 100%, so we can write it down as 72.21=100%.
4. We know, that x is 48.11% of the output value, so we can write it down as x=48.11%.
5. Now we have two simple equations:
1) 72.21=100%
2) x=48.11%
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:
72.21/x=100%/48.11%
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 48.11% of 72.21

72.21/x=100/48.11
(72.21/x)*x=(100/48.11)*x       - we multiply both sides of the equation by x
72.21=2.0785699438786*x       - we divide both sides of the equation by (2.0785699438786) to get x
72.21/2.0785699438786=x
34.740231=x
x=34.740231

now we have:
48.11% of 72.21=34.740231