34.06 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 34.06 of the output value, so we can write it down as x%=34.06.
5. Now we have two simple equations:
1) 100%=549.45
2) x%=34.06
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%=549.45/34.06
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 34.06 is what percent of 549.45

100%/x%=549.45/34.06
(100/x)*x=(549.45/34.06)*x       - we multiply both sides of the equation by x
100=16.131826189078*x       - we divide both sides of the equation by (16.131826189078) to get x
100/16.131826189078=x
6.1989261989262=x
x=6.1989261989262

now we have:
34.06 is 6.1989261989262% of 549.45