What is 71 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 0.71 is 100%, so we can write it down as 0.71=100%.
4. We know, that x is 71% of the output value, so we can write it down as x=71%.
5. Now we have two simple equations:
1) 0.71=100%
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:
0.71/x=100%/71%
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 71% of 0.71

0.71/x=100/71
(0.71/x)*x=(100/71)*x       - we multiply both sides of the equation by x
0.71=1.4084507042254*x       - we divide both sides of the equation by (1.4084507042254) to get x
0.71/1.4084507042254=x
0.5041=x
x=0.5041

now we have:
71% of 0.71=0.5041