What is 83.33 percent of 0.46 - 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 0.46 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 0.46 is 100%, so we can write it down as 0.46=100%.
4. We know, that x is 83.33% of the output value, so we can write it down as x=83.33%.
5. Now we have two simple equations:
1) 0.46=100%
2) x=83.33%
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:
0.46/x=100%/83.33%
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 83.33% of 0.46

0.46/x=100/83.33
(0.46/x)*x=(100/83.33)*x       - we multiply both sides of the equation by x
0.46=1.2000480019201*x       - we divide both sides of the equation by (1.2000480019201) to get x
0.46/1.2000480019201=x
0.383318=x
x=0.383318

now we have:
83.33% of 0.46=0.383318