31.05 is what percent of 3449.6 - 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 3449.6 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 3449.6, so we can write it down as 100%=3449.6.
4. We know, that x% equals 31.05 of the output value, so we can write it down as x%=31.05.
5. Now we have two simple equations:
1) 100%=3449.6
2) x%=31.05
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%=3449.6/31.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 31.05 is what percent of 3449.6

100%/x%=3449.6/31.05
(100/x)*x=(3449.6/31.05)*x       - we multiply both sides of the equation by x
100=111.09822866345*x       - we divide both sides of the equation by (111.09822866345) to get x
100/111.09822866345=x
0.90010435992579=x
x=0.90010435992579

now we have:
31.05 is 0.90010435992579% of 3449.6