What is 70 percent of 10.966 - 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 10.966 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 10.966 is 100%, so we can write it down as 10.966=100%.
4. We know, that x is 70% of the output value, so we can write it down as x=70%.
5. Now we have two simple equations:
1) 10.966=100%
2) x=70%
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:
10.966/x=100%/70%
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 70% of 10.966

10.966/x=100/70
(10.966/x)*x=(100/70)*x       - we multiply both sides of the equation by x
10.966=1.4285714285714*x       - we divide both sides of the equation by (1.4285714285714) to get x
10.966/1.4285714285714=x
7.6762=x
x=7.6762

now we have:
70% of 10.966=7.6762