102.94 is what percent of 3469 - 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 3469 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 3469, so we can write it down as 100%=3469.
4. We know, that x% equals 102.94 of the output value, so we can write it down as x%=102.94.
5. Now we have two simple equations:
1) 100%=3469
2) x%=102.94
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%=3469/102.94
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 102.94 is what percent of 3469

100%/x%=3469/102.94
(100/x)*x=(3469/102.94)*x       - we multiply both sides of the equation by x
100=33.699242277055*x       - we divide both sides of the equation by (33.699242277055) to get x
100/33.699242277055=x
2.9674257711156=x
x=2.9674257711156

now we have:
102.94 is 2.9674257711156% of 3469