119.94 is what percent of 165.49 - 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 165.49 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 165.49, so we can write it down as 100%=165.49.
4. We know, that x% equals 119.94 of the output value, so we can write it down as x%=119.94.
5. Now we have two simple equations:
1) 100%=165.49
2) x%=119.94
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%=165.49/119.94
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 119.94 is what percent of 165.49

100%/x%=165.49/119.94
(100/x)*x=(165.49/119.94)*x       - we multiply both sides of the equation by x
100=1.3797732199433*x       - we divide both sides of the equation by (1.3797732199433) to get x
100/1.3797732199433=x
72.475678288718=x
x=72.475678288718

now we have:
119.94 is 72.475678288718% of 165.49