What is 66.2 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 71 is 100%, so we can write it down as 71=100%.
4. We know, that x is 66.2% of the output value, so we can write it down as x=66.2%.
5. Now we have two simple equations:
1) 71=100%
2) x=66.2%
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:
71/x=100%/66.2%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 66.2% of 71

71/x=100/66.2
(71/x)*x=(100/66.2)*x       - we multiply both sides of the equation by x
71=1.5105740181269*x       - we divide both sides of the equation by (1.5105740181269) to get x
71/1.5105740181269=x
47.002=x
x=47.002

now we have:
66.2% of 71=47.002