100.55 is what percent of 344.55 - 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 344.55 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 344.55, so we can write it down as 100%=344.55.
4. We know, that x% equals 100.55 of the output value, so we can write it down as x%=100.55.
5. Now we have two simple equations:
1) 100%=344.55
2) x%=100.55
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%=344.55/100.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 100.55 is what percent of 344.55

100%/x%=344.55/100.55
(100/x)*x=(344.55/100.55)*x       - we multiply both sides of the equation by x
100=3.4266534062655*x       - we divide both sides of the equation by (3.4266534062655) to get x
100/3.4266534062655=x
29.182992308809=x
x=29.182992308809

now we have:
100.55 is 29.182992308809% of 344.55