5669.92 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 5669.92 of the output value, so we can write it down as x%=5669.92.
5. Now we have two simple equations:
1) 100%=30000
2) x%=5669.92
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%=30000/5669.92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5669.92 is what percent of 30000

100%/x%=30000/5669.92
(100/x)*x=(30000/5669.92)*x       - we multiply both sides of the equation by x
100=5.2910799446906*x       - we divide both sides of the equation by (5.2910799446906) to get x
100/5.2910799446906=x
18.899733333333=x
x=18.899733333333

now we have:
5669.92 is 18.899733333333% of 30000