11.04 is what percent of 564.64 - 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 564.64 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 564.64, so we can write it down as 100%=564.64.
4. We know, that x% equals 11.04 of the output value, so we can write it down as x%=11.04.
5. Now we have two simple equations:
1) 100%=564.64
2) x%=11.04
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%=564.64/11.04
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.04 is what percent of 564.64

100%/x%=564.64/11.04
(100/x)*x=(564.64/11.04)*x       - we multiply both sides of the equation by x
100=51.144927536232*x       - we divide both sides of the equation by (51.144927536232) to get x
100/51.144927536232=x
1.9552281099462=x
x=1.9552281099462

now we have:
11.04 is 1.9552281099462% of 564.64