16.59 is what percent of 1238 - 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 1238 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 1238, so we can write it down as 100%=1238.
4. We know, that x% equals 16.59 of the output value, so we can write it down as x%=16.59.
5. Now we have two simple equations:
1) 100%=1238
2) x%=16.59
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%=1238/16.59
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.59 is what percent of 1238

100%/x%=1238/16.59
(100/x)*x=(1238/16.59)*x       - we multiply both sides of the equation by x
100=74.62326702833*x       - we divide both sides of the equation by (74.62326702833) to get x
100/74.62326702833=x
1.3400646203554=x
x=1.3400646203554

now we have:
16.59 is 1.3400646203554% of 1238