103.46 is what percent of 3247.3 - 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 3247.3 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 3247.3, so we can write it down as 100%=3247.3.
4. We know, that x% equals 103.46 of the output value, so we can write it down as x%=103.46.
5. Now we have two simple equations:
1) 100%=3247.3
2) x%=103.46
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%=3247.3/103.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 103.46 is what percent of 3247.3

100%/x%=3247.3/103.46
(100/x)*x=(3247.3/103.46)*x       - we multiply both sides of the equation by x
100=31.38700947226*x       - we divide both sides of the equation by (31.38700947226) to get x
100/31.38700947226=x
3.1860314723001=x
x=3.1860314723001

now we have:
103.46 is 3.1860314723001% of 3247.3