130.2 is what percent of 768.44 - 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 768.44 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 768.44, so we can write it down as 100%=768.44.
4. We know, that x% equals 130.2 of the output value, so we can write it down as x%=130.2.
5. Now we have two simple equations:
1) 100%=768.44
2) x%=130.2
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%=768.44/130.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 130.2 is what percent of 768.44

100%/x%=768.44/130.2
(100/x)*x=(768.44/130.2)*x       - we multiply both sides of the equation by x
100=5.9019969278034*x       - we divide both sides of the equation by (5.9019969278034) to get x
100/5.9019969278034=x
16.943417833533=x
x=16.943417833533

now we have:
130.2 is 16.943417833533% of 768.44