111.75 is what percent of 1745 - 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 1745 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 1745, so we can write it down as 100%=1745.
4. We know, that x% equals 111.75 of the output value, so we can write it down as x%=111.75.
5. Now we have two simple equations:
1) 100%=1745
2) x%=111.75
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%=1745/111.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 111.75 is what percent of 1745

100%/x%=1745/111.75
(100/x)*x=(1745/111.75)*x       - we multiply both sides of the equation by x
100=15.615212527964*x       - we divide both sides of the equation by (15.615212527964) to get x
100/15.615212527964=x
6.4040114613181=x
x=6.4040114613181

now we have:
111.75 is 6.4040114613181% of 1745