52.75 is what percent of 455.65 - 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 455.65 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 455.65, so we can write it down as 100%=455.65.
4. We know, that x% equals 52.75 of the output value, so we can write it down as x%=52.75.
5. Now we have two simple equations:
1) 100%=455.65
2) x%=52.75
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%=455.65/52.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 52.75 is what percent of 455.65

100%/x%=455.65/52.75
(100/x)*x=(455.65/52.75)*x       - we multiply both sides of the equation by x
100=8.6379146919431*x       - we divide both sides of the equation by (8.6379146919431) to get x
100/8.6379146919431=x
11.576868210249=x
x=11.576868210249

now we have:
52.75 is 11.576868210249% of 455.65