What is 42.8571428571 percent of 105 - 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 105 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 105 is 100%, so we can write it down as 105=100%.
4. We know, that x is 42.8571428571% of the output value, so we can write it down as x=42.8571428571%.
5. Now we have two simple equations:
1) 105=100%
2) x=42.8571428571%
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:
105/x=100%/42.8571428571%
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 42.8571428571% of 105

105/x=100/42.8571428571
(105/x)*x=(100/42.8571428571)*x       - we multiply both sides of the equation by x
105=2.3333333333357*x       - we divide both sides of the equation by (2.3333333333357) to get x
105/2.3333333333357=x
44.999999999955=x
x=44.999999999955

now we have:
42.8571428571% of 105=44.999999999955