What is 33.3333 percent of 160 - 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 160 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 160 is 100%, so we can write it down as 160=100%.
4. We know, that x is 33.3333% of the output value, so we can write it down as x=33.3333%.
5. Now we have two simple equations:
1) 160=100%
2) x=33.3333%
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:
160/x=100%/33.3333%
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 33.3333% of 160

160/x=100/33.3333
(160/x)*x=(100/33.3333)*x       - we multiply both sides of the equation by x
160=3.000003*x       - we divide both sides of the equation by (3.000003) to get x
160/3.000003=x
53.33328=x
x=53.33328

now we have:
33.3333% of 160=53.33328