What is 78.5 percent of 78.8 - 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 78.8 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 78.8 is 100%, so we can write it down as 78.8=100%.
4. We know, that x is 78.5% of the output value, so we can write it down as x=78.5%.
5. Now we have two simple equations:
1) 78.8=100%
2) x=78.5%
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:
78.8/x=100%/78.5%
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 78.5% of 78.8

78.8/x=100/78.5
(78.8/x)*x=(100/78.5)*x       - we multiply both sides of the equation by x
78.8=1.2738853503185*x       - we divide both sides of the equation by (1.2738853503185) to get x
78.8/1.2738853503185=x
61.858=x
x=61.858

now we have:
78.5% of 78.8=61.858