11.01 is what percent of 22.99 - 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 22.99 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 22.99, so we can write it down as 100%=22.99.
4. We know, that x% equals 11.01 of the output value, so we can write it down as x%=11.01.
5. Now we have two simple equations:
1) 100%=22.99
2) x%=11.01
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%=22.99/11.01
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.01 is what percent of 22.99

100%/x%=22.99/11.01
(100/x)*x=(22.99/11.01)*x       - we multiply both sides of the equation by x
100=2.0881017257039*x       - we divide both sides of the equation by (2.0881017257039) to get x
100/2.0881017257039=x
47.890387124837=x
x=47.890387124837

now we have:
11.01 is 47.890387124837% of 22.99