What is 700 percent of 0.11 - 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 0.11 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 0.11 is 100%, so we can write it down as 0.11=100%.
4. We know, that x is 700% of the output value, so we can write it down as x=700%.
5. Now we have two simple equations:
1) 0.11=100%
2) x=700%
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:
0.11/x=100%/700%
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 700% of 0.11

0.11/x=100/700
(0.11/x)*x=(100/700)*x       - we multiply both sides of the equation by x
0.11=0.14285714285714*x       - we divide both sides of the equation by (0.14285714285714) to get x
0.11/0.14285714285714=x
0.77=x
x=0.77

now we have:
700% of 0.11=0.77