44 is what percent of 6821 - 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 6821 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 6821, so we can write it down as 100%=6821.
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%=6821
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%=6821/44
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 6821

100%/x%=6821/44
(100/x)*x=(6821/44)*x       - we multiply both sides of the equation by x
100=155.02272727273*x       - we divide both sides of the equation by (155.02272727273) to get x
100/155.02272727273=x
0.64506670576162=x
x=0.64506670576162

now we have:
44 is 0.64506670576162% of 6821