What is 77.2 percent of 102 - 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 102 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 102 is 100%, so we can write it down as 102=100%.
4. We know, that x is 77.2% of the output value, so we can write it down as x=77.2%.
5. Now we have two simple equations:
1) 102=100%
2) x=77.2%
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:
102/x=100%/77.2%
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 77.2% of 102

102/x=100/77.2
(102/x)*x=(100/77.2)*x       - we multiply both sides of the equation by x
102=1.2953367875648*x       - we divide both sides of the equation by (1.2953367875648) to get x
102/1.2953367875648=x
78.744=x
x=78.744

now we have:
77.2% of 102=78.744