40.48 is what percent of 14174.21 - 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 14174.21 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 14174.21, so we can write it down as 100%=14174.21.
4. We know, that x% equals 40.48 of the output value, so we can write it down as x%=40.48.
5. Now we have two simple equations:
1) 100%=14174.21
2) x%=40.48
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%=14174.21/40.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40.48 is what percent of 14174.21

100%/x%=14174.21/40.48
(100/x)*x=(14174.21/40.48)*x       - we multiply both sides of the equation by x
100=350.15340909091*x       - we divide both sides of the equation by (350.15340909091) to get x
100/350.15340909091=x
0.2855891086699=x
x=0.2855891086699

now we have:
40.48 is 0.2855891086699% of 14174.21