180.84 is what percent of 479.99 - 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 479.99 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 479.99, so we can write it down as 100%=479.99.
4. We know, that x% equals 180.84 of the output value, so we can write it down as x%=180.84.
5. Now we have two simple equations:
1) 100%=479.99
2) x%=180.84
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%=479.99/180.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 180.84 is what percent of 479.99

100%/x%=479.99/180.84
(100/x)*x=(479.99/180.84)*x       - we multiply both sides of the equation by x
100=2.6542247290422*x       - we divide both sides of the equation by (2.6542247290422) to get x
100/2.6542247290422=x
37.675784912186=x
x=37.675784912186

now we have:
180.84 is 37.675784912186% of 479.99