1.09 is what percent of 0.75 - 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 0.75 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 0.75, so we can write it down as 100%=0.75.
4. We know, that x% equals 1.09 of the output value, so we can write it down as x%=1.09.
5. Now we have two simple equations:
1) 100%=0.75
2) x%=1.09
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%=0.75/1.09
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.09 is what percent of 0.75

100%/x%=0.75/1.09
(100/x)*x=(0.75/1.09)*x       - we multiply both sides of the equation by x
100=0.68807339449541*x       - we divide both sides of the equation by (0.68807339449541) to get x
100/0.68807339449541=x
145.33333333333=x
x=145.33333333333

now we have:
1.09 is 145.33333333333% of 0.75