426.49 is what percent of 452.75 - 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 452.75 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 452.75, so we can write it down as 100%=452.75.
4. We know, that x% equals 426.49 of the output value, so we can write it down as x%=426.49.
5. Now we have two simple equations:
1) 100%=452.75
2) x%=426.49
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%=452.75/426.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 426.49 is what percent of 452.75

100%/x%=452.75/426.49
(100/x)*x=(452.75/426.49)*x       - we multiply both sides of the equation by x
100=1.0615723698094*x       - we divide both sides of the equation by (1.0615723698094) to get x
100/1.0615723698094=x
94.199889563777=x
x=94.199889563777

now we have:
426.49 is 94.199889563777% of 452.75