1.09 is what percent of 31.24 - 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 31.24 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 31.24, so we can write it down as 100%=31.24.
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%=31.24
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%=31.24/1.09
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 31.24

100%/x%=31.24/1.09
(100/x)*x=(31.24/1.09)*x       - we multiply both sides of the equation by x
100=28.660550458716*x       - we divide both sides of the equation by (28.660550458716) to get x
100/28.660550458716=x
3.4891165172855=x
x=3.4891165172855

now we have:
1.09 is 3.4891165172855% of 31.24