9.19 is what percent of 53.55 - 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 53.55 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 53.55, so we can write it down as 100%=53.55.
4. We know, that x% equals 9.19 of the output value, so we can write it down as x%=9.19.
5. Now we have two simple equations:
1) 100%=53.55
2) x%=9.19
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%=53.55/9.19
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.19 is what percent of 53.55

100%/x%=53.55/9.19
(100/x)*x=(53.55/9.19)*x       - we multiply both sides of the equation by x
100=5.8269858541893*x       - we divide both sides of the equation by (5.8269858541893) to get x
100/5.8269858541893=x
17.161531279178=x
x=17.161531279178

now we have:
9.19 is 17.161531279178% of 53.55