What is 19.7 percent of 77.5 - 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 77.5 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 77.5 is 100%, so we can write it down as 77.5=100%.
4. We know, that x is 19.7% of the output value, so we can write it down as x=19.7%.
5. Now we have two simple equations:
1) 77.5=100%
2) x=19.7%
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:
77.5/x=100%/19.7%
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 19.7% of 77.5

77.5/x=100/19.7
(77.5/x)*x=(100/19.7)*x       - we multiply both sides of the equation by x
77.5=5.0761421319797*x       - we divide both sides of the equation by (5.0761421319797) to get x
77.5/5.0761421319797=x
15.2675=x
x=15.2675

now we have:
19.7% of 77.5=15.2675