550.8 is what percent of 10200 - 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 10200 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 10200, so we can write it down as 100%=10200.
4. We know, that x% equals 550.8 of the output value, so we can write it down as x%=550.8.
5. Now we have two simple equations:
1) 100%=10200
2) x%=550.8
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%=10200/550.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 550.8 is what percent of 10200

100%/x%=10200/550.8
(100/x)*x=(10200/550.8)*x       - we multiply both sides of the equation by x
100=18.518518518519*x       - we divide both sides of the equation by (18.518518518519) to get x
100/18.518518518519=x
5.4=x
x=5.4

now we have:
550.8 is 5.4% of 10200