30.08 is what percent of 44.044 - 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 44.044 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 44.044, so we can write it down as 100%=44.044.
4. We know, that x% equals 30.08 of the output value, so we can write it down as x%=30.08.
5. Now we have two simple equations:
1) 100%=44.044
2) x%=30.08
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%=44.044/30.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 30.08 is what percent of 44.044

100%/x%=44.044/30.08
(100/x)*x=(44.044/30.08)*x       - we multiply both sides of the equation by x
100=1.4642287234043*x       - we divide both sides of the equation by (1.4642287234043) to get x
100/1.4642287234043=x
68.295341022614=x
x=68.295341022614

now we have:
30.08 is 68.295341022614% of 44.044