What is 78.75 percent of 164 - 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 164 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 164 is 100%, so we can write it down as 164=100%.
4. We know, that x is 78.75% of the output value, so we can write it down as x=78.75%.
5. Now we have two simple equations:
1) 164=100%
2) x=78.75%
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:
164/x=100%/78.75%
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 78.75% of 164

164/x=100/78.75
(164/x)*x=(100/78.75)*x       - we multiply both sides of the equation by x
164=1.2698412698413*x       - we divide both sides of the equation by (1.2698412698413) to get x
164/1.2698412698413=x
129.15=x
x=129.15

now we have:
78.75% of 164=129.15