What is 0.01257703 percent of 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 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 78 is 100%, so we can write it down as 78=100%.
4. We know, that x is 0.01257703% of the output value, so we can write it down as x=0.01257703%.
5. Now we have two simple equations:
1) 78=100%
2) x=0.01257703%
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:
78/x=100%/0.01257703%
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 0.01257703% of 78

78/x=100/0.01257703
(78/x)*x=(100/0.01257703)*x       - we multiply both sides of the equation by x
78=7951.0027407106*x       - we divide both sides of the equation by (7951.0027407106) to get x
78/7951.0027407106=x
0.0098100834=x
x=0.0098100834

now we have:
0.01257703% of 78=0.0098100834