6001.65 is what percent of 6002 - 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 6002 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 6002, so we can write it down as 100%=6002.
4. We know, that x% equals 6001.65 of the output value, so we can write it down as x%=6001.65.
5. Now we have two simple equations:
1) 100%=6002
2) x%=6001.65
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%=6002/6001.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6001.65 is what percent of 6002

100%/x%=6002/6001.65
(100/x)*x=(6002/6001.65)*x       - we multiply both sides of the equation by x
100=1.0000583172961*x       - we divide both sides of the equation by (1.0000583172961) to get x
100/1.0000583172961=x
99.994168610463=x
x=99.994168610463

now we have:
6001.65 is 99.994168610463% of 6002