49.6 is what percent of 307 - 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 307 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 307, so we can write it down as 100%=307.
4. We know, that x% equals 49.6 of the output value, so we can write it down as x%=49.6.
5. Now we have two simple equations:
1) 100%=307
2) x%=49.6
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%=307/49.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 49.6 is what percent of 307

100%/x%=307/49.6
(100/x)*x=(307/49.6)*x       - we multiply both sides of the equation by x
100=6.1895161290323*x       - we divide both sides of the equation by (6.1895161290323) to get x
100/6.1895161290323=x
16.156351791531=x
x=16.156351791531

now we have:
49.6 is 16.156351791531% of 307