10998.43 is what percent of 16737.4 - 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 16737.4 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 16737.4, so we can write it down as 100%=16737.4.
4. We know, that x% equals 10998.43 of the output value, so we can write it down as x%=10998.43.
5. Now we have two simple equations:
1) 100%=16737.4
2) x%=10998.43
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%=16737.4/10998.43
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10998.43 is what percent of 16737.4

100%/x%=16737.4/10998.43
(100/x)*x=(16737.4/10998.43)*x       - we multiply both sides of the equation by x
100=1.5217990204056*x       - we divide both sides of the equation by (1.5217990204056) to get x
100/1.5217990204056=x
65.711699547122=x
x=65.711699547122

now we have:
10998.43 is 65.711699547122% of 16737.4