What is 11.78 percent of 703 - 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 703 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 703 is 100%, so we can write it down as 703=100%.
4. We know, that x is 11.78% of the output value, so we can write it down as x=11.78%.
5. Now we have two simple equations:
1) 703=100%
2) x=11.78%
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:
703/x=100%/11.78%
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 11.78% of 703

703/x=100/11.78
(703/x)*x=(100/11.78)*x       - we multiply both sides of the equation by x
703=8.4889643463497*x       - we divide both sides of the equation by (8.4889643463497) to get x
703/8.4889643463497=x
82.8134=x
x=82.8134

now we have:
11.78% of 703=82.8134