315.56 is what percent of 3245.58 - 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 3245.58 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 3245.58, so we can write it down as 100%=3245.58.
4. We know, that x% equals 315.56 of the output value, so we can write it down as x%=315.56.
5. Now we have two simple equations:
1) 100%=3245.58
2) x%=315.56
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%=3245.58/315.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 315.56 is what percent of 3245.58

100%/x%=3245.58/315.56
(100/x)*x=(3245.58/315.56)*x       - we multiply both sides of the equation by x
100=10.285143871213*x       - we divide both sides of the equation by (10.285143871213) to get x
100/10.285143871213=x
9.7227614170657=x
x=9.7227614170657

now we have:
315.56 is 9.7227614170657% of 3245.58