777.56 is what percent of 4704 - 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 4704 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 4704, so we can write it down as 100%=4704.
4. We know, that x% equals 777.56 of the output value, so we can write it down as x%=777.56.
5. Now we have two simple equations:
1) 100%=4704
2) x%=777.56
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%=4704/777.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 777.56 is what percent of 4704

100%/x%=4704/777.56
(100/x)*x=(4704/777.56)*x       - we multiply both sides of the equation by x
100=6.049693914296*x       - we divide both sides of the equation by (6.049693914296) to get x
100/6.049693914296=x
16.529761904762=x
x=16.529761904762

now we have:
777.56 is 16.529761904762% of 4704