677.23 is what percent of 659 - 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 659 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 659, so we can write it down as 100%=659.
4. We know, that x% equals 677.23 of the output value, so we can write it down as x%=677.23.
5. Now we have two simple equations:
1) 100%=659
2) x%=677.23
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%=659/677.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 677.23 is what percent of 659

100%/x%=659/677.23
(100/x)*x=(659/677.23)*x       - we multiply both sides of the equation by x
100=0.97308152326388*x       - we divide both sides of the equation by (0.97308152326388) to get x
100/0.97308152326388=x
102.76631259484=x
x=102.76631259484

now we have:
677.23 is 102.76631259484% of 659