78.65 is what percent of 464.75 - 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 464.75 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 100% equals 464.75, so we can write it down as 100%=464.75.
4. We know, that x% equals 78.65 of the output value, so we can write it down as x%=78.65.
5. Now we have two simple equations:
1) 100%=464.75
2) x%=78.65
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:
100%/x%=464.75/78.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 78.65 is what percent of 464.75

100%/x%=464.75/78.65
(100/x)*x=(464.75/78.65)*x       - we multiply both sides of the equation by x
100=5.90909090909*x       - we divide both sides of the equation by (5.90909090909) to get x
100/5.90909090909=x
16.9230769231=x
x=16.9230769231

now we have:
78.65 is 16.9230769231% of 464.75