12.9 is what percent of 74.48 - 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 74.48 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 74.48, so we can write it down as 100%=74.48.
4. We know, that x% equals 12.9 of the output value, so we can write it down as x%=12.9.
5. Now we have two simple equations:
1) 100%=74.48
2) x%=12.9
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%=74.48/12.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.9 is what percent of 74.48

100%/x%=74.48/12.9
(100/x)*x=(74.48/12.9)*x       - we multiply both sides of the equation by x
100=5.7736434108527*x       - we divide both sides of the equation by (5.7736434108527) to get x
100/5.7736434108527=x
17.320085929108=x
x=17.320085929108

now we have:
12.9 is 17.320085929108% of 74.48