What is 15.65 percent of 75.21 - 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 75.21 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 75.21 is 100%, so we can write it down as 75.21=100%.
4. We know, that x is 15.65% of the output value, so we can write it down as x=15.65%.
5. Now we have two simple equations:
1) 75.21=100%
2) x=15.65%
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:
75.21/x=100%/15.65%
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 15.65% of 75.21

75.21/x=100/15.65
(75.21/x)*x=(100/15.65)*x       - we multiply both sides of the equation by x
75.21=6.3897763578275*x       - we divide both sides of the equation by (6.3897763578275) to get x
75.21/6.3897763578275=x
11.770365=x
x=11.770365

now we have:
15.65% of 75.21=11.770365