6 is what percent of 294.6 - 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 294.6 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 294.6, so we can write it down as 100%=294.6.
4. We know, that x% equals 6 of the output value, so we can write it down as x%=6.
5. Now we have two simple equations:
1) 100%=294.6
2) x%=6
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%=294.6/6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6 is what percent of 294.6

100%/x%=294.6/6
(100/x)*x=(294.6/6)*x       - we multiply both sides of the equation by x
100=49.1*x       - we divide both sides of the equation by (49.1) to get x
100/49.1=x
2.0366598778004=x
x=2.0366598778004

now we have:
6 is 2.0366598778004% of 294.6