179.96 is what percent of 1504 - 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 1504 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 1504, so we can write it down as 100%=1504.
4. We know, that x% equals 179.96 of the output value, so we can write it down as x%=179.96.
5. Now we have two simple equations:
1) 100%=1504
2) x%=179.96
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%=1504/179.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 179.96 is what percent of 1504

100%/x%=1504/179.96
(100/x)*x=(1504/179.96)*x       - we multiply both sides of the equation by x
100=8.3574127583908*x       - we divide both sides of the equation by (8.3574127583908) to get x
100/8.3574127583908=x
11.965425531915=x
x=11.965425531915

now we have:
179.96 is 11.965425531915% of 1504