109.5 is what percent of 143 - 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 143 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 143, so we can write it down as 100%=143.
4. We know, that x% equals 109.5 of the output value, so we can write it down as x%=109.5.
5. Now we have two simple equations:
1) 100%=143
2) x%=109.5
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%=143/109.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 109.5 is what percent of 143

100%/x%=143/109.5
(100/x)*x=(143/109.5)*x       - we multiply both sides of the equation by x
100=1.3059360730594*x       - we divide both sides of the equation by (1.3059360730594) to get x
100/1.3059360730594=x
76.573426573427=x
x=76.573426573427

now we have:
109.5 is 76.573426573427% of 143