109.96 is what percent of 182 - 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 182 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 182, so we can write it down as 100%=182.
4. We know, that x% equals 109.96 of the output value, so we can write it down as x%=109.96.
5. Now we have two simple equations:
1) 100%=182
2) x%=109.96
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%=182/109.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 109.96 is what percent of 182

100%/x%=182/109.96
(100/x)*x=(182/109.96)*x       - we multiply both sides of the equation by x
100=1.6551473263005*x       - we divide both sides of the equation by (1.6551473263005) to get x
100/1.6551473263005=x
60.417582417582=x
x=60.417582417582

now we have:
109.96 is 60.417582417582% of 182