195.23 is what percent of 205.5 - 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 205.5 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 205.5, so we can write it down as 100%=205.5.
4. We know, that x% equals 195.23 of the output value, so we can write it down as x%=195.23.
5. Now we have two simple equations:
1) 100%=205.5
2) x%=195.23
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%=205.5/195.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 195.23 is what percent of 205.5

100%/x%=205.5/195.23
(100/x)*x=(205.5/195.23)*x       - we multiply both sides of the equation by x
100=1.0526046201916*x       - we divide both sides of the equation by (1.0526046201916) to get x
100/1.0526046201916=x
95.002433090024=x
x=95.002433090024

now we have:
195.23 is 95.002433090024% of 205.5