29.7 is what percent of 3074 - 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 3074 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 3074, so we can write it down as 100%=3074.
4. We know, that x% equals 29.7 of the output value, so we can write it down as x%=29.7.
5. Now we have two simple equations:
1) 100%=3074
2) x%=29.7
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%=3074/29.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 29.7 is what percent of 3074

100%/x%=3074/29.7
(100/x)*x=(3074/29.7)*x       - we multiply both sides of the equation by x
100=103.50168350168*x       - we divide both sides of the equation by (103.50168350168) to get x
100/103.50168350168=x
0.96616785946649=x
x=0.96616785946649

now we have:
29.7 is 0.96616785946649% of 3074