233.89 is what percent of 254.65 - 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 254.65 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 254.65, so we can write it down as 100%=254.65.
4. We know, that x% equals 233.89 of the output value, so we can write it down as x%=233.89.
5. Now we have two simple equations:
1) 100%=254.65
2) x%=233.89
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%=254.65/233.89
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 233.89 is what percent of 254.65

100%/x%=254.65/233.89
(100/x)*x=(254.65/233.89)*x       - we multiply both sides of the equation by x
100=1.0887596733507*x       - we divide both sides of the equation by (1.0887596733507) to get x
100/1.0887596733507=x
91.847634007461=x
x=91.847634007461

now we have:
233.89 is 91.847634007461% of 254.65