22.9 is what percent of 23.5 - 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 23.5 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 23.5, so we can write it down as 100%=23.5.
4. We know, that x% equals 22.9 of the output value, so we can write it down as x%=22.9.
5. Now we have two simple equations:
1) 100%=23.5
2) x%=22.9
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%=23.5/22.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 22.9 is what percent of 23.5

100%/x%=23.5/22.9
(100/x)*x=(23.5/22.9)*x       - we multiply both sides of the equation by x
100=1.0262008733624*x       - we divide both sides of the equation by (1.0262008733624) to get x
100/1.0262008733624=x
97.446808510638=x
x=97.446808510638

now we have:
22.9 is 97.446808510638% of 23.5