677.53 is what percent of 4307.2 - 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 4307.2 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 4307.2, so we can write it down as 100%=4307.2.
4. We know, that x% equals 677.53 of the output value, so we can write it down as x%=677.53.
5. Now we have two simple equations:
1) 100%=4307.2
2) x%=677.53
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%=4307.2/677.53
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 677.53 is what percent of 4307.2

100%/x%=4307.2/677.53
(100/x)*x=(4307.2/677.53)*x       - we multiply both sides of the equation by x
100=6.3572092748661*x       - we divide both sides of the equation by (6.3572092748661) to get x
100/6.3572092748661=x
15.730172734027=x
x=15.730172734027

now we have:
677.53 is 15.730172734027% of 4307.2