6 is what percent of 1332 - 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 1332 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 1332, so we can write it down as 100%=1332.
4. We know, that x% equals 6 of the output value, so we can write it down as x%=6.
5. Now we have two simple equations:
1) 100%=1332
2) x%=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%=1332/6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6 is what percent of 1332

100%/x%=1332/6
(100/x)*x=(1332/6)*x       - we multiply both sides of the equation by x
100=222*x       - we divide both sides of the equation by (222) to get x
100/222=x
0.45045045045045=x
x=0.45045045045045

now we have:
6 is 0.45045045045045% of 1332