29.46 is what percent of 31649.58 - 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 31649.58 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 31649.58, so we can write it down as 100%=31649.58.
4. We know, that x% equals 29.46 of the output value, so we can write it down as x%=29.46.
5. Now we have two simple equations:
1) 100%=31649.58
2) x%=29.46
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%=31649.58/29.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 29.46 is what percent of 31649.58

100%/x%=31649.58/29.46
(100/x)*x=(31649.58/29.46)*x       - we multiply both sides of the equation by x
100=1074.3238289206*x       - we divide both sides of the equation by (1074.3238289206) to get x
100/1074.3238289206=x
0.093081803929152=x
x=0.093081803929152

now we have:
29.46 is 0.093081803929152% of 31649.58