34.45 is what percent of 301.44 - 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 301.44 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 301.44, so we can write it down as 100%=301.44.
4. We know, that x% equals 34.45 of the output value, so we can write it down as x%=34.45.
5. Now we have two simple equations:
1) 100%=301.44
2) x%=34.45
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%=301.44/34.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 34.45 is what percent of 301.44

100%/x%=301.44/34.45
(100/x)*x=(301.44/34.45)*x       - we multiply both sides of the equation by x
100=8.7500725689405*x       - we divide both sides of the equation by (8.7500725689405) to get x
100/8.7500725689405=x
11.428476645435=x
x=11.428476645435

now we have:
34.45 is 11.428476645435% of 301.44