270.27 is what percent of 6006 - 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 6006 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 6006, so we can write it down as 100%=6006.
4. We know, that x% equals 270.27 of the output value, so we can write it down as x%=270.27.
5. Now we have two simple equations:
1) 100%=6006
2) x%=270.27
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%=6006/270.27
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 270.27 is what percent of 6006

100%/x%=6006/270.27
(100/x)*x=(6006/270.27)*x       - we multiply both sides of the equation by x
100=22.222222222222*x       - we divide both sides of the equation by (22.222222222222) to get x
100/22.222222222222=x
4.5=x
x=4.5

now we have:
270.27 is 4.5% of 6006