478836.18 is what percent of 1496982.34 - 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 1496982.34 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 1496982.34, so we can write it down as 100%=1496982.34.
4. We know, that x% equals 478836.18 of the output value, so we can write it down as x%=478836.18.
5. Now we have two simple equations:
1) 100%=1496982.34
2) x%=478836.18
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%=1496982.34/478836.18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 478836.18 is what percent of 1496982.34

100%/x%=1496982.34/478836.18
(100/x)*x=(1496982.34/478836.18)*x       - we multiply both sides of the equation by x
100=3.1262932972191*x       - we divide both sides of the equation by (3.1262932972191) to get x
100/3.1262932972191=x
31.986762115043=x
x=31.986762115043

now we have:
478836.18 is 31.986762115043% of 1496982.34