223.25 is what percent of 230 - 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 230 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 230, so we can write it down as 100%=230.
4. We know, that x% equals 223.25 of the output value, so we can write it down as x%=223.25.
5. Now we have two simple equations:
1) 100%=230
2) x%=223.25
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%=230/223.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 223.25 is what percent of 230

100%/x%=230/223.25
(100/x)*x=(230/223.25)*x       - we multiply both sides of the equation by x
100=1.030235162374*x       - we divide both sides of the equation by (1.030235162374) to get x
100/1.030235162374=x
97.065217391304=x
x=97.065217391304

now we have:
223.25 is 97.065217391304% of 230