29.85 is what percent of 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 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 6, so we can write it down as 100%=6.
4. We know, that x% equals 29.85 of the output value, so we can write it down as x%=29.85.
5. Now we have two simple equations:
1) 100%=6
2) x%=29.85
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%=6/29.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 29.85 is what percent of 6

100%/x%=6/29.85
(100/x)*x=(6/29.85)*x       - we multiply both sides of the equation by x
100=0.20100502512563*x       - we divide both sides of the equation by (0.20100502512563) to get x
100/0.20100502512563=x
497.5=x
x=497.5

now we have:
29.85 is 497.5% of 6