30 is what percent of 44.92 - 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 44.92 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 44.92, so we can write it down as 100%=44.92.
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%=44.92
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%=44.92/30
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 44.92

100%/x%=44.92/30
(100/x)*x=(44.92/30)*x       - we multiply both sides of the equation by x
100=1.4973333333333*x       - we divide both sides of the equation by (1.4973333333333) to get x
100/1.4973333333333=x
66.785396260018=x
x=66.785396260018

now we have:
30 is 66.785396260018% of 44.92