What is 20.92 percent of 505.48 - 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 505.48 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 505.48 is 100%, so we can write it down as 505.48=100%.
4. We know, that x is 20.92% of the output value, so we can write it down as x=20.92%.
5. Now we have two simple equations:
1) 505.48=100%
2) x=20.92%
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:
505.48/x=100%/20.92%
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 20.92% of 505.48

505.48/x=100/20.92
(505.48/x)*x=(100/20.92)*x       - we multiply both sides of the equation by x
505.48=4.7801147227533*x       - we divide both sides of the equation by (4.7801147227533) to get x
505.48/4.7801147227533=x
105.746416=x
x=105.746416

now we have:
20.92% of 505.48=105.746416