49.9 is what percent of 311.9 - 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 311.9 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 311.9, so we can write it down as 100%=311.9.
4. We know, that x% equals 49.9 of the output value, so we can write it down as x%=49.9.
5. Now we have two simple equations:
1) 100%=311.9
2) x%=49.9
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%=311.9/49.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 49.9 is what percent of 311.9

100%/x%=311.9/49.9
(100/x)*x=(311.9/49.9)*x       - we multiply both sides of the equation by x
100=6.250501002004*x       - we divide both sides of the equation by (6.250501002004) to get x
100/6.250501002004=x
15.998717537672=x
x=15.998717537672

now we have:
49.9 is 15.998717537672% of 311.9