What is 65.877 percent of 75 - 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 75 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 75 is 100%, so we can write it down as 75=100%.
4. We know, that x is 65.877% of the output value, so we can write it down as x=65.877%.
5. Now we have two simple equations:
1) 75=100%
2) x=65.877%
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:
75/x=100%/65.877%
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 65.877% of 75

75/x=100/65.877
(75/x)*x=(100/65.877)*x       - we multiply both sides of the equation by x
75=1.517980478771*x       - we divide both sides of the equation by (1.517980478771) to get x
75/1.517980478771=x
49.40775=x
x=49.40775

now we have:
65.877% of 75=49.40775