21.75 is what percent of 2200 - 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 2200 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 2200, so we can write it down as 100%=2200.
4. We know, that x% equals 21.75 of the output value, so we can write it down as x%=21.75.
5. Now we have two simple equations:
1) 100%=2200
2) x%=21.75
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%=2200/21.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 21.75 is what percent of 2200

100%/x%=2200/21.75
(100/x)*x=(2200/21.75)*x       - we multiply both sides of the equation by x
100=101.14942528736*x       - we divide both sides of the equation by (101.14942528736) to get x
100/101.14942528736=x
0.98863636363636=x
x=0.98863636363636

now we have:
21.75 is 0.98863636363636% of 2200