106.33 is what percent of 343.67 - 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 343.67 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 343.67, so we can write it down as 100%=343.67.
4. We know, that x% equals 106.33 of the output value, so we can write it down as x%=106.33.
5. Now we have two simple equations:
1) 100%=343.67
2) x%=106.33
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%=343.67/106.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 106.33 is what percent of 343.67

100%/x%=343.67/106.33
(100/x)*x=(343.67/106.33)*x       - we multiply both sides of the equation by x
100=3.2321075895796*x       - we divide both sides of the equation by (3.2321075895796) to get x
100/3.2321075895796=x
30.93956411674=x
x=30.93956411674

now we have:
106.33 is 30.93956411674% of 343.67