2965.97 is what percent of 6000 - 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 6000 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 6000, so we can write it down as 100%=6000.
4. We know, that x% equals 2965.97 of the output value, so we can write it down as x%=2965.97.
5. Now we have two simple equations:
1) 100%=6000
2) x%=2965.97
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%=6000/2965.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2965.97 is what percent of 6000

100%/x%=6000/2965.97
(100/x)*x=(6000/2965.97)*x       - we multiply both sides of the equation by x
100=2.0229469617022*x       - we divide both sides of the equation by (2.0229469617022) to get x
100/2.0229469617022=x
49.432833333333=x
x=49.432833333333

now we have:
2965.97 is 49.432833333333% of 6000