179.46 is what percent of 997 - 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 997 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 997, so we can write it down as 100%=997.
4. We know, that x% equals 179.46 of the output value, so we can write it down as x%=179.46.
5. Now we have two simple equations:
1) 100%=997
2) x%=179.46
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%=997/179.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 179.46 is what percent of 997

100%/x%=997/179.46
(100/x)*x=(997/179.46)*x       - we multiply both sides of the equation by x
100=5.5555555555556*x       - we divide both sides of the equation by (5.5555555555556) to get x
100/5.5555555555556=x
18=x
x=18

now we have:
179.46 is 18% of 997