687.23 is what percent of 5976 - 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 5976 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 5976, so we can write it down as 100%=5976.
4. We know, that x% equals 687.23 of the output value, so we can write it down as x%=687.23.
5. Now we have two simple equations:
1) 100%=5976
2) x%=687.23
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%=5976/687.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 687.23 is what percent of 5976

100%/x%=5976/687.23
(100/x)*x=(5976/687.23)*x       - we multiply both sides of the equation by x
100=8.695778705819*x       - we divide both sides of the equation by (8.695778705819) to get x
100/8.695778705819=x
11.499832663989=x
x=11.499832663989

now we have:
687.23 is 11.499832663989% of 5976