What is 65.8 percent of 75.2 - 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 75.2 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 75.2 is 100%, so we can write it down as 75.2=100%.
4. We know, that x is 65.8% of the output value, so we can write it down as x=65.8%.
5. Now we have two simple equations:
1) 75.2=100%
2) x=65.8%
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:
75.2/x=100%/65.8%
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 65.8% of 75.2

75.2/x=100/65.8
(75.2/x)*x=(100/65.8)*x       - we multiply both sides of the equation by x
75.2=1.5197568389058*x       - we divide both sides of the equation by (1.5197568389058) to get x
75.2/1.5197568389058=x
49.4816=x
x=49.4816

now we have:
65.8% of 75.2=49.4816