What is 46.2 percent of 68.33 - 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 68.33 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 68.33 is 100%, so we can write it down as 68.33=100%.
4. We know, that x is 46.2% of the output value, so we can write it down as x=46.2%.
5. Now we have two simple equations:
1) 68.33=100%
2) x=46.2%
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:
68.33/x=100%/46.2%
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 46.2% of 68.33

68.33/x=100/46.2
(68.33/x)*x=(100/46.2)*x       - we multiply both sides of the equation by x
68.33=2.1645021645022*x       - we divide both sides of the equation by (2.1645021645022) to get x
68.33/2.1645021645022=x
31.56846=x
x=31.56846

now we have:
46.2% of 68.33=31.56846