50.3 is what percent of 315 - 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 315 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 315, so we can write it down as 100%=315.
4. We know, that x% equals 50.3 of the output value, so we can write it down as x%=50.3.
5. Now we have two simple equations:
1) 100%=315
2) x%=50.3
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%=315/50.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 50.3 is what percent of 315

100%/x%=315/50.3
(100/x)*x=(315/50.3)*x       - we multiply both sides of the equation by x
100=6.2624254473161*x       - we divide both sides of the equation by (6.2624254473161) to get x
100/6.2624254473161=x
15.968253968254=x
x=15.968253968254

now we have:
50.3 is 15.968253968254% of 315