1.12 is what percent of 6.75 - 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 6.75 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 6.75, so we can write it down as 100%=6.75.
4. We know, that x% equals 1.12 of the output value, so we can write it down as x%=1.12.
5. Now we have two simple equations:
1) 100%=6.75
2) x%=1.12
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%=6.75/1.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.12 is what percent of 6.75

100%/x%=6.75/1.12
(100/x)*x=(6.75/1.12)*x       - we multiply both sides of the equation by x
100=6.0267857142857*x       - we divide both sides of the equation by (6.0267857142857) to get x
100/6.0267857142857=x
16.592592592593=x
x=16.592592592593

now we have:
1.12 is 16.592592592593% of 6.75