6 is what percent of 549.45 - 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 549.45 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 549.45, so we can write it down as 100%=549.45.
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%=549.45
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%=549.45/6
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 549.45

100%/x%=549.45/6
(100/x)*x=(549.45/6)*x       - we multiply both sides of the equation by x
100=91.575*x       - we divide both sides of the equation by (91.575) to get x
100/91.575=x
1.0920010920011=x
x=1.0920010920011

now we have:
6 is 1.0920010920011% of 549.45