9.55 is what percent of 19.45 - 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 19.45 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 19.45, so we can write it down as 100%=19.45.
4. We know, that x% equals 9.55 of the output value, so we can write it down as x%=9.55.
5. Now we have two simple equations:
1) 100%=19.45
2) x%=9.55
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%=19.45/9.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.55 is what percent of 19.45

100%/x%=19.45/9.55
(100/x)*x=(19.45/9.55)*x       - we multiply both sides of the equation by x
100=2.0366492146597*x       - we divide both sides of the equation by (2.0366492146597) to get x
100/2.0366492146597=x
49.100257069409=x
x=49.100257069409

now we have:
9.55 is 49.100257069409% of 19.45