1004.67 is what percent of 3014 - 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 3014 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 3014, so we can write it down as 100%=3014.
4. We know, that x% equals 1004.67 of the output value, so we can write it down as x%=1004.67.
5. Now we have two simple equations:
1) 100%=3014
2) x%=1004.67
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%=3014/1004.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1004.67 is what percent of 3014

100%/x%=3014/1004.67
(100/x)*x=(3014/1004.67)*x       - we multiply both sides of the equation by x
100=2.9999900464829*x       - we divide both sides of the equation by (2.9999900464829) to get x
100/2.9999900464829=x
33.333443928334=x
x=33.333443928334

now we have:
1004.67 is 33.333443928334% of 3014