What is 71.8 percent of 10.71 - 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 10.71 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 10.71 is 100%, so we can write it down as 10.71=100%.
4. We know, that x is 71.8% of the output value, so we can write it down as x=71.8%.
5. Now we have two simple equations:
1) 10.71=100%
2) x=71.8%
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:
10.71/x=100%/71.8%
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 71.8% of 10.71

10.71/x=100/71.8
(10.71/x)*x=(100/71.8)*x       - we multiply both sides of the equation by x
10.71=1.3927576601671*x       - we divide both sides of the equation by (1.3927576601671) to get x
10.71/1.3927576601671=x
7.68978=x
x=7.68978

now we have:
71.8% of 10.71=7.68978