What is 125 percent of 678 - 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 678 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 678 is 100%, so we can write it down as 678=100%.
4. We know, that x is 125% of the output value, so we can write it down as x=125%.
5. Now we have two simple equations:
1) 678=100%
2) x=125%
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:
678/x=100%/125%
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 125% of 678

678/x=100/125
(678/x)*x=(100/125)*x       - we multiply both sides of the equation by x
678=0.8*x       - we divide both sides of the equation by (0.8) to get x
678/0.8=x
847.5=x
x=847.5

now we have:
125% of 678=847.5