716.7 is what percent of 12455.8 - 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 12455.8 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 12455.8, so we can write it down as 100%=12455.8.
4. We know, that x% equals 716.7 of the output value, so we can write it down as x%=716.7.
5. Now we have two simple equations:
1) 100%=12455.8
2) x%=716.7
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%=12455.8/716.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 716.7 is what percent of 12455.8

100%/x%=12455.8/716.7
(100/x)*x=(12455.8/716.7)*x       - we multiply both sides of the equation by x
100=17.379377703363*x       - we divide both sides of the equation by (17.379377703363) to get x
100/17.379377703363=x
5.7539459528894=x
x=5.7539459528894

now we have:
716.7 is 5.7539459528894% of 12455.8