What is 687.5 percent of 55 - 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 55 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 55 is 100%, so we can write it down as 55=100%.
4. We know, that x is 687.5% of the output value, so we can write it down as x=687.5%.
5. Now we have two simple equations:
1) 55=100%
2) x=687.5%
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:
55/x=100%/687.5%
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 687.5% of 55

55/x=100/687.5
(55/x)*x=(100/687.5)*x       - we multiply both sides of the equation by x
55=0.14545454545455*x       - we divide both sides of the equation by (0.14545454545455) to get x
55/0.14545454545455=x
378.125=x
x=378.125

now we have:
687.5% of 55=378.125