6002 is what percent of 41646 - 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 41646 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 41646, so we can write it down as 100%=41646.
4. We know, that x% equals 6002 of the output value, so we can write it down as x%=6002.
5. Now we have two simple equations:
1) 100%=41646
2) x%=6002
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%=41646/6002
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6002 is what percent of 41646

100%/x%=41646/6002
(100/x)*x=(41646/6002)*x       - we multiply both sides of the equation by x
100=6.9386871042986*x       - we divide both sides of the equation by (6.9386871042986) to get x
100/6.9386871042986=x
14.41194832637=x
x=14.41194832637

now we have:
6002 is 14.41194832637% of 41646