110.99 is what percent of 564.35 - 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 564.35 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 564.35, so we can write it down as 100%=564.35.
4. We know, that x% equals 110.99 of the output value, so we can write it down as x%=110.99.
5. Now we have two simple equations:
1) 100%=564.35
2) x%=110.99
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%=564.35/110.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 110.99 is what percent of 564.35

100%/x%=564.35/110.99
(100/x)*x=(564.35/110.99)*x       - we multiply both sides of the equation by x
100=5.0846923146229*x       - we divide both sides of the equation by (5.0846923146229) to get x
100/5.0846923146229=x
19.66687339417=x
x=19.66687339417

now we have:
110.99 is 19.66687339417% of 564.35