179.6 is what percent of 449.16 - 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 449.16 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 449.16, so we can write it down as 100%=449.16.
4. We know, that x% equals 179.6 of the output value, so we can write it down as x%=179.6.
5. Now we have two simple equations:
1) 100%=449.16
2) x%=179.6
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%=449.16/179.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 179.6 is what percent of 449.16

100%/x%=449.16/179.6
(100/x)*x=(449.16/179.6)*x       - we multiply both sides of the equation by x
100=2.5008908685969*x       - we divide both sides of the equation by (2.5008908685969) to get x
100/2.5008908685969=x
39.98575117998=x
x=39.98575117998

now we have:
179.6 is 39.98575117998% of 449.16