30 is what percent of 5.2 - 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 5.2 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 5.2, so we can write it down as 100%=5.2.
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%=5.2
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%=5.2/30
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 5.2

100%/x%=5.2/30
(100/x)*x=(5.2/30)*x       - we multiply both sides of the equation by x
100=0.17333333333333*x       - we divide both sides of the equation by (0.17333333333333) to get x
100/0.17333333333333=x
576.92307692308=x
x=576.92307692308

now we have:
30 is 576.92307692308% of 5.2