486.96 is what percent of 3003.42 - 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 3003.42 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 3003.42, so we can write it down as 100%=3003.42.
4. We know, that x% equals 486.96 of the output value, so we can write it down as x%=486.96.
5. Now we have two simple equations:
1) 100%=3003.42
2) x%=486.96
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%=3003.42/486.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 486.96 is what percent of 3003.42

100%/x%=3003.42/486.96
(100/x)*x=(3003.42/486.96)*x       - we multiply both sides of the equation by x
100=6.1676934450468*x       - we divide both sides of the equation by (6.1676934450468) to get x
100/6.1676934450468=x
16.213516591086=x
x=16.213516591086

now we have:
486.96 is 16.213516591086% of 3003.42