9.76 is what percent of 5.12 - 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 5.12 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 5.12, so we can write it down as 100%=5.12.
4. We know, that x% equals 9.76 of the output value, so we can write it down as x%=9.76.
5. Now we have two simple equations:
1) 100%=5.12
2) x%=9.76
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%=5.12/9.76
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.76 is what percent of 5.12

100%/x%=5.12/9.76
(100/x)*x=(5.12/9.76)*x       - we multiply both sides of the equation by x
100=0.52459016393443*x       - we divide both sides of the equation by (0.52459016393443) to get x
100/0.52459016393443=x
190.625=x
x=190.625

now we have:
9.76 is 190.625% of 5.12