1.22 is what percent of 13.55 - 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 13.55 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 13.55, so we can write it down as 100%=13.55.
4. We know, that x% equals 1.22 of the output value, so we can write it down as x%=1.22.
5. Now we have two simple equations:
1) 100%=13.55
2) x%=1.22
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%=13.55/1.22
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.22 is what percent of 13.55

100%/x%=13.55/1.22
(100/x)*x=(13.55/1.22)*x       - we multiply both sides of the equation by x
100=11.106557377049*x       - we divide both sides of the equation by (11.106557377049) to get x
100/11.106557377049=x
9.0036900369004=x
x=9.0036900369004

now we have:
1.22 is 9.0036900369004% of 13.55