30 is what percent of 1408 - 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 1408 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 1408, so we can write it down as 100%=1408.
4. We know, that x% equals 30 of the output value, so we can write it down as x%=30.
5. Now we have two simple equations:
1) 100%=1408
2) x%=30
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%=1408/30
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 30 is what percent of 1408

100%/x%=1408/30
(100/x)*x=(1408/30)*x       - we multiply both sides of the equation by x
100=46.933333333333*x       - we divide both sides of the equation by (46.933333333333) to get x
100/46.933333333333=x
2.1306818181818=x
x=2.1306818181818

now we have:
30 is 2.1306818181818% of 1408