550.43 is what percent of 2504.45 - 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 2504.45 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 2504.45, so we can write it down as 100%=2504.45.
4. We know, that x% equals 550.43 of the output value, so we can write it down as x%=550.43.
5. Now we have two simple equations:
1) 100%=2504.45
2) x%=550.43
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%=2504.45/550.43
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 550.43 is what percent of 2504.45

100%/x%=2504.45/550.43
(100/x)*x=(2504.45/550.43)*x       - we multiply both sides of the equation by x
100=4.5499881910506*x       - we divide both sides of the equation by (4.5499881910506) to get x
100/4.5499881910506=x
21.978079019346=x
x=21.978079019346

now we have:
550.43 is 21.978079019346% of 2504.45