44.33 is what percent of 1006.74 - 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 1006.74 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 1006.74, so we can write it down as 100%=1006.74.
4. We know, that x% equals 44.33 of the output value, so we can write it down as x%=44.33.
5. Now we have two simple equations:
1) 100%=1006.74
2) x%=44.33
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%=1006.74/44.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 44.33 is what percent of 1006.74

100%/x%=1006.74/44.33
(100/x)*x=(1006.74/44.33)*x       - we multiply both sides of the equation by x
100=22.710128581096*x       - we divide both sides of the equation by (22.710128581096) to get x
100/22.710128581096=x
4.4033216123329=x
x=4.4033216123329

now we have:
44.33 is 4.4033216123329% of 1006.74