6608.7 is what percent of 6742.9 - 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 6742.9 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 6742.9, so we can write it down as 100%=6742.9.
4. We know, that x% equals 6608.7 of the output value, so we can write it down as x%=6608.7.
5. Now we have two simple equations:
1) 100%=6742.9
2) x%=6608.7
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%=6742.9/6608.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6608.7 is what percent of 6742.9

100%/x%=6742.9/6608.7
(100/x)*x=(6742.9/6608.7)*x       - we multiply both sides of the equation by x
100=1.0203065655878*x       - we divide both sides of the equation by (1.0203065655878) to get x
100/1.0203065655878=x
98.009758412552=x
x=98.009758412552

now we have:
6608.7 is 98.009758412552% of 6742.9