44.4 is what percent of 30.3 - 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 30.3 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 30.3, so we can write it down as 100%=30.3.
4. We know, that x% equals 44.4 of the output value, so we can write it down as x%=44.4.
5. Now we have two simple equations:
1) 100%=30.3
2) x%=44.4
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%=30.3/44.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 44.4 is what percent of 30.3

100%/x%=30.3/44.4
(100/x)*x=(30.3/44.4)*x       - we multiply both sides of the equation by x
100=0.68243243243243*x       - we divide both sides of the equation by (0.68243243243243) to get x
100/0.68243243243243=x
146.53465346535=x
x=146.53465346535

now we have:
44.4 is 146.53465346535% of 30.3