What is 96.1 percent of 75.75 - 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 75.75 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 75.75 is 100%, so we can write it down as 75.75=100%.
4. We know, that x is 96.1% of the output value, so we can write it down as x=96.1%.
5. Now we have two simple equations:
1) 75.75=100%
2) x=96.1%
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:
75.75/x=100%/96.1%
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 96.1% of 75.75

75.75/x=100/96.1
(75.75/x)*x=(100/96.1)*x       - we multiply both sides of the equation by x
75.75=1.0405827263267*x       - we divide both sides of the equation by (1.0405827263267) to get x
75.75/1.0405827263267=x
72.79575=x
x=72.79575

now we have:
96.1% of 75.75=72.79575