71 is what percent of 66 - 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 66 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 66, so we can write it down as 100%=66.
4. We know, that x% equals 71 of the output value, so we can write it down as x%=71.
5. Now we have two simple equations:
1) 100%=66
2) x%=71
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%=66/71
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 71 is what percent of 66

100%/x%=66/71
(100/x)*x=(66/71)*x       - we multiply both sides of the equation by x
100=0.92957746478873*x       - we divide both sides of the equation by (0.92957746478873) to get x
100/0.92957746478873=x
107.57575757576=x
x=107.57575757576

now we have:
71 is 107.57575757576% of 66