What is 53.3333 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 53.3333% of the output value, so we can write it down as x=53.3333%.
5. Now we have two simple equations:
1) 105=100%
2) x=53.3333%
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:
105/x=100%/53.3333%
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 53.3333% of 105

105/x=100/53.3333
(105/x)*x=(100/53.3333)*x       - we multiply both sides of the equation by x
105=1.8750011718757*x       - we divide both sides of the equation by (1.8750011718757) to get x
105/1.8750011718757=x
55.999965=x
x=55.999965

now we have:
53.3333% of 105=55.999965