What is 2.5 percent of 78.6 - 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 78.6 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 78.6 is 100%, so we can write it down as 78.6=100%.
4. We know, that x is 2.5% of the output value, so we can write it down as x=2.5%.
5. Now we have two simple equations:
1) 78.6=100%
2) x=2.5%
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:
78.6/x=100%/2.5%
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 2.5% of 78.6

78.6/x=100/2.5
(78.6/x)*x=(100/2.5)*x       - we multiply both sides of the equation by x
78.6=40*x       - we divide both sides of the equation by (40) to get x
78.6/40=x
1.965=x
x=1.965

now we have:
2.5% of 78.6=1.965