49 is what percent of 316.13 - 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 316.13 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 316.13, so we can write it down as 100%=316.13.
4. We know, that x% equals 49 of the output value, so we can write it down as x%=49.
5. Now we have two simple equations:
1) 100%=316.13
2) x%=49
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%=316.13/49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 49 is what percent of 316.13

100%/x%=316.13/49
(100/x)*x=(316.13/49)*x       - we multiply both sides of the equation by x
100=6.4516326530612*x       - we divide both sides of the equation by (6.4516326530612) to get x
100/6.4516326530612=x
15.499952551166=x
x=15.499952551166

now we have:
49 is 15.499952551166% of 316.13