768.49 is what percent of 1306.25 - 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 1306.25 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 1306.25, so we can write it down as 100%=1306.25.
4. We know, that x% equals 768.49 of the output value, so we can write it down as x%=768.49.
5. Now we have two simple equations:
1) 100%=1306.25
2) x%=768.49
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%=1306.25/768.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 768.49 is what percent of 1306.25

100%/x%=1306.25/768.49
(100/x)*x=(1306.25/768.49)*x       - we multiply both sides of the equation by x
100=1.6997618706815*x       - we divide both sides of the equation by (1.6997618706815) to get x
100/1.6997618706815=x
58.831770334928=x
x=58.831770334928

now we have:
768.49 is 58.831770334928% of 1306.25