What is 40.751 percent of 76.55 - 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 76.55 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 76.55 is 100%, so we can write it down as 76.55=100%.
4. We know, that x is 40.751% of the output value, so we can write it down as x=40.751%.
5. Now we have two simple equations:
1) 76.55=100%
2) x=40.751%
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:
76.55/x=100%/40.751%
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 40.751% of 76.55

76.55/x=100/40.751
(76.55/x)*x=(100/40.751)*x       - we multiply both sides of the equation by x
76.55=2.4539275109813*x       - we divide both sides of the equation by (2.4539275109813) to get x
76.55/2.4539275109813=x
31.1948905=x
x=31.1948905

now we have:
40.751% of 76.55=31.1948905