111.47 is what percent of 164.47 - 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 164.47 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 164.47, so we can write it down as 100%=164.47.
4. We know, that x% equals 111.47 of the output value, so we can write it down as x%=111.47.
5. Now we have two simple equations:
1) 100%=164.47
2) x%=111.47
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%=164.47/111.47
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 111.47 is what percent of 164.47

100%/x%=164.47/111.47
(100/x)*x=(164.47/111.47)*x       - we multiply both sides of the equation by x
100=1.475464250471*x       - we divide both sides of the equation by (1.475464250471) to get x
100/1.475464250471=x
67.775278166231=x
x=67.775278166231

now we have:
111.47 is 67.775278166231% of 164.47