What is 40.6 percent of 677.5 - 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 677.5 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 677.5 is 100%, so we can write it down as 677.5=100%.
4. We know, that x is 40.6% of the output value, so we can write it down as x=40.6%.
5. Now we have two simple equations:
1) 677.5=100%
2) x=40.6%
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:
677.5/x=100%/40.6%
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 40.6% of 677.5

677.5/x=100/40.6
(677.5/x)*x=(100/40.6)*x       - we multiply both sides of the equation by x
677.5=2.4630541871921*x       - we divide both sides of the equation by (2.4630541871921) to get x
677.5/2.4630541871921=x
275.065=x
x=275.065

now we have:
40.6% of 677.5=275.065