109.8 is what percent of 331 - 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 331 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 331, so we can write it down as 100%=331.
4. We know, that x% equals 109.8 of the output value, so we can write it down as x%=109.8.
5. Now we have two simple equations:
1) 100%=331
2) x%=109.8
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%=331/109.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 109.8 is what percent of 331

100%/x%=331/109.8
(100/x)*x=(331/109.8)*x       - we multiply both sides of the equation by x
100=3.0145719489982*x       - we divide both sides of the equation by (3.0145719489982) to get x
100/3.0145719489982=x
33.172205438066=x
x=33.172205438066

now we have:
109.8 is 33.172205438066% of 331