10.1 is what percent of 103.55 - 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 103.55 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 103.55, so we can write it down as 100%=103.55.
4. We know, that x% equals 10.1 of the output value, so we can write it down as x%=10.1.
5. Now we have two simple equations:
1) 100%=103.55
2) x%=10.1
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%=103.55/10.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.1 is what percent of 103.55

100%/x%=103.55/10.1
(100/x)*x=(103.55/10.1)*x       - we multiply both sides of the equation by x
100=10.252475247525*x       - we divide both sides of the equation by (10.252475247525) to get x
100/10.252475247525=x
9.753742153549=x
x=9.753742153549

now we have:
10.1 is 9.753742153549% of 103.55