106.4 is what percent of 344 - 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 344 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 344, so we can write it down as 100%=344.
4. We know, that x% equals 106.4 of the output value, so we can write it down as x%=106.4.
5. Now we have two simple equations:
1) 100%=344
2) x%=106.4
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%=344/106.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 106.4 is what percent of 344

100%/x%=344/106.4
(100/x)*x=(344/106.4)*x       - we multiply both sides of the equation by x
100=3.2330827067669*x       - we divide both sides of the equation by (3.2330827067669) to get x
100/3.2330827067669=x
30.93023255814=x
x=30.93023255814

now we have:
106.4 is 30.93023255814% of 344