303.45 is what percent of 2773.3 - 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 2773.3 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 2773.3, so we can write it down as 100%=2773.3.
4. We know, that x% equals 303.45 of the output value, so we can write it down as x%=303.45.
5. Now we have two simple equations:
1) 100%=2773.3
2) x%=303.45
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%=2773.3/303.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 303.45 is what percent of 2773.3

100%/x%=2773.3/303.45
(100/x)*x=(2773.3/303.45)*x       - we multiply both sides of the equation by x
100=9.1392321634536*x       - we divide both sides of the equation by (9.1392321634536) to get x
100/9.1392321634536=x
10.941838243248=x
x=10.941838243248

now we have:
303.45 is 10.941838243248% of 2773.3