9281.25 is what percent of 55000 - 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 55000 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 55000, so we can write it down as 100%=55000.
4. We know, that x% equals 9281.25 of the output value, so we can write it down as x%=9281.25.
5. Now we have two simple equations:
1) 100%=55000
2) x%=9281.25
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%=55000/9281.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9281.25 is what percent of 55000

100%/x%=55000/9281.25
(100/x)*x=(55000/9281.25)*x       - we multiply both sides of the equation by x
100=5.9259259259259*x       - we divide both sides of the equation by (5.9259259259259) to get x
100/5.9259259259259=x
16.875=x
x=16.875

now we have:
9281.25 is 16.875% of 55000