109.6 is what percent of 71 - 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 71 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 71, so we can write it down as 100%=71.
4. We know, that x% equals 109.6 of the output value, so we can write it down as x%=109.6.
5. Now we have two simple equations:
1) 100%=71
2) x%=109.6
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%=71/109.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 109.6 is what percent of 71

100%/x%=71/109.6
(100/x)*x=(71/109.6)*x       - we multiply both sides of the equation by x
100=0.6478102189781*x       - we divide both sides of the equation by (0.6478102189781) to get x
100/0.6478102189781=x
154.3661971831=x
x=154.3661971831

now we have:
109.6 is 154.3661971831% of 71