What is 83.23 percent of 15.78 - 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 15.78 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 15.78 is 100%, so we can write it down as 15.78=100%.
4. We know, that x is 83.23% of the output value, so we can write it down as x=83.23%.
5. Now we have two simple equations:
1) 15.78=100%
2) x=83.23%
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:
15.78/x=100%/83.23%
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 83.23% of 15.78

15.78/x=100/83.23
(15.78/x)*x=(100/83.23)*x       - we multiply both sides of the equation by x
15.78=1.2014898474108*x       - we divide both sides of the equation by (1.2014898474108) to get x
15.78/1.2014898474108=x
13.133694=x
x=13.133694

now we have:
83.23% of 15.78=13.133694