5.49 is what percent of 6049 - 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 6049 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 6049, so we can write it down as 100%=6049.
4. We know, that x% equals 5.49 of the output value, so we can write it down as x%=5.49.
5. Now we have two simple equations:
1) 100%=6049
2) x%=5.49
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%=6049/5.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.49 is what percent of 6049

100%/x%=6049/5.49
(100/x)*x=(6049/5.49)*x       - we multiply both sides of the equation by x
100=1101.8214936248*x       - we divide both sides of the equation by (1101.8214936248) to get x
100/1101.8214936248=x
0.090758803107952=x
x=0.090758803107952

now we have:
5.49 is 0.090758803107952% of 6049