2993.9 is what percent of 31063.35 - 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 31063.35 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 31063.35, so we can write it down as 100%=31063.35.
4. We know, that x% equals 2993.9 of the output value, so we can write it down as x%=2993.9.
5. Now we have two simple equations:
1) 100%=31063.35
2) x%=2993.9
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%=31063.35/2993.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2993.9 is what percent of 31063.35

100%/x%=31063.35/2993.9
(100/x)*x=(31063.35/2993.9)*x       - we multiply both sides of the equation by x
100=10.375546945456*x       - we divide both sides of the equation by (10.375546945456) to get x
100/10.375546945456=x
9.6380461218767=x
x=9.6380461218767

now we have:
2993.9 is 9.6380461218767% of 31063.35