22 is what percent of 2.279 - 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 2.279 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 2.279, so we can write it down as 100%=2.279.
4. We know, that x% equals 22 of the output value, so we can write it down as x%=22.
5. Now we have two simple equations:
1) 100%=2.279
2) x%=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%=2.279/22
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 22 is what percent of 2.279

100%/x%=2.279/22
(100/x)*x=(2.279/22)*x       - we multiply both sides of the equation by x
100=0.10359090909091*x       - we divide both sides of the equation by (0.10359090909091) to get x
100/0.10359090909091=x
965.33567354103=x
x=965.33567354103

now we have:
22 is 965.33567354103% of 2.279