12.74 is what percent of 165.37 - 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 165.37 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 165.37, so we can write it down as 100%=165.37.
4. We know, that x% equals 12.74 of the output value, so we can write it down as x%=12.74.
5. Now we have two simple equations:
1) 100%=165.37
2) x%=12.74
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%=165.37/12.74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.74 is what percent of 165.37

100%/x%=165.37/12.74
(100/x)*x=(165.37/12.74)*x       - we multiply both sides of the equation by x
100=12.980376766091*x       - we divide both sides of the equation by (12.980376766091) to get x
100/12.980376766091=x
7.7039366269577=x
x=7.7039366269577

now we have:
12.74 is 7.7039366269577% of 165.37