345.28 is what percent of 3712.74 - 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 3712.74 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 3712.74, so we can write it down as 100%=3712.74.
4. We know, that x% equals 345.28 of the output value, so we can write it down as x%=345.28.
5. Now we have two simple equations:
1) 100%=3712.74
2) x%=345.28
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%=3712.74/345.28
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 345.28 is what percent of 3712.74

100%/x%=3712.74/345.28
(100/x)*x=(3712.74/345.28)*x       - we multiply both sides of the equation by x
100=10.752838276182*x       - we divide both sides of the equation by (10.752838276182) to get x
100/10.752838276182=x
9.2998701767428=x
x=9.2998701767428

now we have:
345.28 is 9.2998701767428% of 3712.74