30.48 is what percent of 549.06 - 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 549.06 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 549.06, so we can write it down as 100%=549.06.
4. We know, that x% equals 30.48 of the output value, so we can write it down as x%=30.48.
5. Now we have two simple equations:
1) 100%=549.06
2) x%=30.48
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%=549.06/30.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 30.48 is what percent of 549.06

100%/x%=549.06/30.48
(100/x)*x=(549.06/30.48)*x       - we multiply both sides of the equation by x
100=18.013779527559*x       - we divide both sides of the equation by (18.013779527559) to get x
100/18.013779527559=x
5.5513058682111=x
x=5.5513058682111

now we have:
30.48 is 5.5513058682111% of 549.06