432.25 is what percent of 440.75 - 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 440.75 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 440.75, so we can write it down as 100%=440.75.
4. We know, that x% equals 432.25 of the output value, so we can write it down as x%=432.25.
5. Now we have two simple equations:
1) 100%=440.75
2) x%=432.25
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%=440.75/432.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 432.25 is what percent of 440.75

100%/x%=440.75/432.25
(100/x)*x=(440.75/432.25)*x       - we multiply both sides of the equation by x
100=1.0196645459803*x       - we divide both sides of the equation by (1.0196645459803) to get x
100/1.0196645459803=x
98.071469086784=x
x=98.071469086784

now we have:
432.25 is 98.071469086784% of 440.75