0.66 is what percent of 0.71 - 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 0.71 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 0.71, so we can write it down as 100%=0.71.
4. We know, that x% equals 0.66 of the output value, so we can write it down as x%=0.66.
5. Now we have two simple equations:
1) 100%=0.71
2) x%=0.66
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%=0.71/0.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.66 is what percent of 0.71

100%/x%=0.71/0.66
(100/x)*x=(0.71/0.66)*x       - we multiply both sides of the equation by x
100=1.0757575757576*x       - we divide both sides of the equation by (1.0757575757576) to get x
100/1.0757575757576=x
92.957746478873=x
x=92.957746478873

now we have:
0.66 is 92.957746478873% of 0.71