What is 50 percent of 312.5 - 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 312.5 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 312.5 is 100%, so we can write it down as 312.5=100%.
4. We know, that x is 50% of the output value, so we can write it down as x=50%.
5. Now we have two simple equations:
1) 312.5=100%
2) x=50%
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:
312.5/x=100%/50%
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 50% of 312.5

312.5/x=100/50
(312.5/x)*x=(100/50)*x       - we multiply both sides of the equation by x
312.5=2*x       - we divide both sides of the equation by (2) to get x
312.5/2=x
156.25=x
x=156.25

now we have:
50% of 312.5=156.25