677.7 is what percent of 1659 - 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 1659 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 100% equals 1659, so we can write it down as 100%=1659.
4. We know, that x% equals 677.7 of the output value, so we can write it down as x%=677.7.
5. Now we have two simple equations:
1) 100%=1659
2) x%=677.7
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:
100%/x%=1659/677.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 677.7 is what percent of 1659

100%/x%=1659/677.7
(100/x)*x=(1659/677.7)*x       - we multiply both sides of the equation by x
100=2.44798583444*x       - we divide both sides of the equation by (2.44798583444) to get x
100/2.44798583444=x
40.849909584087=x
x=40.849909584087

now we have:
677.7 is 40.849909584087% of 1659