332.5 is what percent of 12.458 - 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 12.458 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 12.458, so we can write it down as 100%=12.458.
4. We know, that x% equals 332.5 of the output value, so we can write it down as x%=332.5.
5. Now we have two simple equations:
1) 100%=12.458
2) x%=332.5
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%=12.458/332.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 332.5 is what percent of 12.458

100%/x%=12.458/332.5
(100/x)*x=(12.458/332.5)*x       - we multiply both sides of the equation by x
100=0.037467669172932*x       - we divide both sides of the equation by (0.037467669172932) to get x
100/0.037467669172932=x
2668.9677315781=x
x=2668.9677315781

now we have:
332.5 is 2668.9677315781% of 12.458