6.6 is what percent of 233.4 - 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 233.4 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 233.4, so we can write it down as 100%=233.4.
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%=233.4
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%=233.4/6.6
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 233.4

100%/x%=233.4/6.6
(100/x)*x=(233.4/6.6)*x       - we multiply both sides of the equation by x
100=35.363636363636*x       - we divide both sides of the equation by (35.363636363636) to get x
100/35.363636363636=x
2.827763496144=x
x=2.827763496144

now we have:
6.6 is 2.827763496144% of 233.4