80 is what percent of 2.22 - 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 2.22 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 2.22, so we can write it down as 100%=2.22.
4. We know, that x% equals 80 of the output value, so we can write it down as x%=80.
5. Now we have two simple equations:
1) 100%=2.22
2) x%=80
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%=2.22/80
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 80 is what percent of 2.22

100%/x%=2.22/80
(100/x)*x=(2.22/80)*x       - we multiply both sides of the equation by x
100=0.02775*x       - we divide both sides of the equation by (0.02775) to get x
100/0.02775=x
3603.6036036036=x
x=3603.6036036036

now we have:
80 is 3603.6036036036% of 2.22