179.49 is what percent of 1500 - 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 1500 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 1500, so we can write it down as 100%=1500.
4. We know, that x% equals 179.49 of the output value, so we can write it down as x%=179.49.
5. Now we have two simple equations:
1) 100%=1500
2) x%=179.49
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%=1500/179.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 179.49 is what percent of 1500

100%/x%=1500/179.49
(100/x)*x=(1500/179.49)*x       - we multiply both sides of the equation by x
100=8.3570115326759*x       - we divide both sides of the equation by (8.3570115326759) to get x
100/8.3570115326759=x
11.966=x
x=11.966

now we have:
179.49 is 11.966% of 1500