What is 33.3 percent of 466 - 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 466 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 466 is 100%, so we can write it down as 466=100%.
4. We know, that x is 33.3% of the output value, so we can write it down as x=33.3%.
5. Now we have two simple equations:
1) 466=100%
2) x=33.3%
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:
466/x=100%/33.3%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 33.3% of 466

466/x=100/33.3
(466/x)*x=(100/33.3)*x       - we multiply both sides of the equation by x
466=3.003003003003*x       - we divide both sides of the equation by (3.003003003003) to get x
466/3.003003003003=x
155.178=x
x=155.178

now we have:
33.3% of 466=155.178