What is 0.71 percent of 1.113 - 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 1.113 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 1.113 is 100%, so we can write it down as 1.113=100%.
4. We know, that x is 0.71% of the output value, so we can write it down as x=0.71%.
5. Now we have two simple equations:
1) 1.113=100%
2) x=0.71%
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:
1.113/x=100%/0.71%
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 0.71% of 1.113

1.113/x=100/0.71
(1.113/x)*x=(100/0.71)*x       - we multiply both sides of the equation by x
1.113=140.84507042254*x       - we divide both sides of the equation by (140.84507042254) to get x
1.113/140.84507042254=x
0.0079023=x
x=0.0079023

now we have:
0.71% of 1.113=0.0079023