3478.8 is what percent of 28.99 - 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 28.99 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 28.99, so we can write it down as 100%=28.99.
4. We know, that x% equals 3478.8 of the output value, so we can write it down as x%=3478.8.
5. Now we have two simple equations:
1) 100%=28.99
2) x%=3478.8
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%=28.99/3478.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3478.8 is what percent of 28.99

100%/x%=28.99/3478.8
(100/x)*x=(28.99/3478.8)*x       - we multiply both sides of the equation by x
100=0.0083333333333333*x       - we divide both sides of the equation by (0.0083333333333333) to get x
100/0.0083333333333333=x
12000=x
x=12000

now we have:
3478.8 is 12000% of 28.99