30.06 is what percent of 484.86 - 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 484.86 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 484.86, so we can write it down as 100%=484.86.
4. We know, that x% equals 30.06 of the output value, so we can write it down as x%=30.06.
5. Now we have two simple equations:
1) 100%=484.86
2) x%=30.06
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%=484.86/30.06
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 30.06 is what percent of 484.86

100%/x%=484.86/30.06
(100/x)*x=(484.86/30.06)*x       - we multiply both sides of the equation by x
100=16.129740518962*x       - we divide both sides of the equation by (16.129740518962) to get x
100/16.129740518962=x
6.1997277564658=x
x=6.1997277564658

now we have:
30.06 is 6.1997277564658% of 484.86