9.56 is what percent of 19.99 - 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 19.99 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 19.99, so we can write it down as 100%=19.99.
4. We know, that x% equals 9.56 of the output value, so we can write it down as x%=9.56.
5. Now we have two simple equations:
1) 100%=19.99
2) x%=9.56
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%=19.99/9.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.56 is what percent of 19.99

100%/x%=19.99/9.56
(100/x)*x=(19.99/9.56)*x       - we multiply both sides of the equation by x
100=2.0910041841004*x       - we divide both sides of the equation by (2.0910041841004) to get x
100/2.0910041841004=x
47.823911955978=x
x=47.823911955978

now we have:
9.56 is 47.823911955978% of 19.99