22 is what percent of 2101 - 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 2101 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 2101, so we can write it down as 100%=2101.
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%=2101
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%=2101/22
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 2101

100%/x%=2101/22
(100/x)*x=(2101/22)*x       - we multiply both sides of the equation by x
100=95.5*x       - we divide both sides of the equation by (95.5) to get x
100/95.5=x
1.0471204188482=x
x=1.0471204188482

now we have:
22 is 1.0471204188482% of 2101