315.39 is what percent of 3153.85 - 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 3153.85 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 3153.85, so we can write it down as 100%=3153.85.
4. We know, that x% equals 315.39 of the output value, so we can write it down as x%=315.39.
5. Now we have two simple equations:
1) 100%=3153.85
2) x%=315.39
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%=3153.85/315.39
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 315.39 is what percent of 3153.85

100%/x%=3153.85/315.39
(100/x)*x=(3153.85/315.39)*x       - we multiply both sides of the equation by x
100=9.9998414661213*x       - we divide both sides of the equation by (9.9998414661213) to get x
100/9.9998414661213=x
10.000158536392=x
x=10.000158536392

now we have:
315.39 is 10.000158536392% of 3153.85