What is 15.5 percent of 687.5 - 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 687.5 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 687.5 is 100%, so we can write it down as 687.5=100%.
4. We know, that x is 15.5% of the output value, so we can write it down as x=15.5%.
5. Now we have two simple equations:
1) 687.5=100%
2) x=15.5%
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:
687.5/x=100%/15.5%
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 15.5% of 687.5

687.5/x=100/15.5
(687.5/x)*x=(100/15.5)*x       - we multiply both sides of the equation by x
687.5=6.4516129032258*x       - we divide both sides of the equation by (6.4516129032258) to get x
687.5/6.4516129032258=x
106.5625=x
x=106.5625

now we have:
15.5% of 687.5=106.5625