6164.99 is what percent of 8998 - 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 8998 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 8998, so we can write it down as 100%=8998.
4. We know, that x% equals 6164.99 of the output value, so we can write it down as x%=6164.99.
5. Now we have two simple equations:
1) 100%=8998
2) x%=6164.99
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%=8998/6164.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6164.99 is what percent of 8998

100%/x%=8998/6164.99
(100/x)*x=(8998/6164.99)*x       - we multiply both sides of the equation by x
100=1.4595319700437*x       - we divide both sides of the equation by (1.4595319700437) to get x
100/1.4595319700437=x
68.515114469882=x
x=68.515114469882

now we have:
6164.99 is 68.515114469882% of 8998