1033.33 is what percent of 30000 - 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 30000 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 30000, so we can write it down as 100%=30000.
4. We know, that x% equals 1033.33 of the output value, so we can write it down as x%=1033.33.
5. Now we have two simple equations:
1) 100%=30000
2) x%=1033.33
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%=30000/1033.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1033.33 is what percent of 30000

100%/x%=30000/1033.33
(100/x)*x=(30000/1033.33)*x       - we multiply both sides of the equation by x
100=29.032351717264*x       - we divide both sides of the equation by (29.032351717264) to get x
100/29.032351717264=x
3.4444333333333=x
x=3.4444333333333

now we have:
1033.33 is 3.4444333333333% of 30000