444.02 is what percent of 1082 - 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 1082 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 1082, so we can write it down as 100%=1082.
4. We know, that x% equals 444.02 of the output value, so we can write it down as x%=444.02.
5. Now we have two simple equations:
1) 100%=1082
2) x%=444.02
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%=1082/444.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 444.02 is what percent of 1082

100%/x%=1082/444.02
(100/x)*x=(1082/444.02)*x       - we multiply both sides of the equation by x
100=2.4368271699473*x       - we divide both sides of the equation by (2.4368271699473) to get x
100/2.4368271699473=x
41.03696857671=x
x=41.03696857671

now we have:
444.02 is 41.03696857671% of 1082