22 is what percent of 23.43 - 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 23.43 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 23.43, so we can write it down as 100%=23.43.
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%=23.43
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%=23.43/22
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 23.43

100%/x%=23.43/22
(100/x)*x=(23.43/22)*x       - we multiply both sides of the equation by x
100=1.065*x       - we divide both sides of the equation by (1.065) to get x
100/1.065=x
93.896713615=x
x=93.896713615

now we have:
22 is 93.896713615% of 23.43