20.49 is what percent of 409.85 - 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 409.85 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 100% equals 409.85, so we can write it down as 100%=409.85.
4. We know, that x% equals 20.49 of the output value, so we can write it down as x%=20.49.
5. Now we have two simple equations:
1) 100%=409.85
2) x%=20.49
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:
100%/x%=409.85/20.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20.49 is what percent of 409.85

100%/x%=409.85/20.49
(100/x)*x=(409.85/20.49)*x       - we multiply both sides of the equation by x
100=20.002440214739*x       - we divide both sides of the equation by (20.002440214739) to get x
100/20.002440214739=x
4.9993900207393=x
x=4.9993900207393

now we have:
20.49 is 4.9993900207393% of 409.85