433.25 is what percent of 250.25 - 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 250.25 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 250.25, so we can write it down as 100%=250.25.
4. We know, that x% equals 433.25 of the output value, so we can write it down as x%=433.25.
5. Now we have two simple equations:
1) 100%=250.25
2) x%=433.25
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%=250.25/433.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 433.25 is what percent of 250.25

100%/x%=250.25/433.25
(100/x)*x=(250.25/433.25)*x       - we multiply both sides of the equation by x
100=0.57761107905366*x       - we divide both sides of the equation by (0.57761107905366) to get x
100/0.57761107905366=x
173.12687312687=x
x=173.12687312687

now we have:
433.25 is 173.12687312687% of 250.25