479.31 is what percent of 1799.66 - 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 1799.66 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 1799.66, so we can write it down as 100%=1799.66.
4. We know, that x% equals 479.31 of the output value, so we can write it down as x%=479.31.
5. Now we have two simple equations:
1) 100%=1799.66
2) x%=479.31
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%=1799.66/479.31
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 479.31 is what percent of 1799.66

100%/x%=1799.66/479.31
(100/x)*x=(1799.66/479.31)*x       - we multiply both sides of the equation by x
100=3.7546890321504*x       - we divide both sides of the equation by (3.7546890321504) to get x
100/3.7546890321504=x
26.633364079882=x
x=26.633364079882

now we have:
479.31 is 26.633364079882% of 1799.66