15 is what percent of 50.407 - 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 50.407 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 50.407, so we can write it down as 100%=50.407.
4. We know, that x% equals 15 of the output value, so we can write it down as x%=15.
5. Now we have two simple equations:
1) 100%=50.407
2) x%=15
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%=50.407/15
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 15 is what percent of 50.407

100%/x%=50.407/15
(100/x)*x=(50.407/15)*x       - we multiply both sides of the equation by x
100=3.3604666666667*x       - we divide both sides of the equation by (3.3604666666667) to get x
100/3.3604666666667=x
29.757771738052=x
x=29.757771738052

now we have:
15 is 29.757771738052% of 50.407