1006.44 is what percent of 6217.08 - 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 6217.08 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 6217.08, so we can write it down as 100%=6217.08.
4. We know, that x% equals 1006.44 of the output value, so we can write it down as x%=1006.44.
5. Now we have two simple equations:
1) 100%=6217.08
2) x%=1006.44
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%=6217.08/1006.44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1006.44 is what percent of 6217.08

100%/x%=6217.08/1006.44
(100/x)*x=(6217.08/1006.44)*x       - we multiply both sides of the equation by x
100=6.1772981995946*x       - we divide both sides of the equation by (6.1772981995946) to get x
100/6.1772981995946=x
16.188307050898=x
x=16.188307050898

now we have:
1006.44 is 16.188307050898% of 6217.08