44 is what percent of 242.9 - 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 242.9 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 242.9, so we can write it down as 100%=242.9.
4. We know, that x% equals 44 of the output value, so we can write it down as x%=44.
5. Now we have two simple equations:
1) 100%=242.9
2) x%=44
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%=242.9/44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 44 is what percent of 242.9

100%/x%=242.9/44
(100/x)*x=(242.9/44)*x       - we multiply both sides of the equation by x
100=5.5204545454545*x       - we divide both sides of the equation by (5.5204545454545) to get x
100/5.5204545454545=x
18.114450391107=x
x=18.114450391107

now we have:
44 is 18.114450391107% of 242.9