31.31 is what percent of 331.31 - 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 331.31 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 331.31, so we can write it down as 100%=331.31.
4. We know, that x% equals 31.31 of the output value, so we can write it down as x%=31.31.
5. Now we have two simple equations:
1) 100%=331.31
2) x%=31.31
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%=331.31/31.31
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 31.31 is what percent of 331.31

100%/x%=331.31/31.31
(100/x)*x=(331.31/31.31)*x       - we multiply both sides of the equation by x
100=10.581603321622*x       - we divide both sides of the equation by (10.581603321622) to get x
100/10.581603321622=x
9.4503637077058=x
x=9.4503637077058

now we have:
31.31 is 9.4503637077058% of 331.31