6.6 is what percent of 2871 - 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 2871 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 2871, so we can write it down as 100%=2871.
4. We know, that x% equals 6.6 of the output value, so we can write it down as x%=6.6.
5. Now we have two simple equations:
1) 100%=2871
2) x%=6.6
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%=2871/6.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.6 is what percent of 2871

100%/x%=2871/6.6
(100/x)*x=(2871/6.6)*x       - we multiply both sides of the equation by x
100=435*x       - we divide both sides of the equation by (435) to get x
100/435=x
0.22988505747126=x
x=0.22988505747126

now we have:
6.6 is 0.22988505747126% of 2871