401.6 is what percent of 477.65 - 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 477.65 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 477.65, so we can write it down as 100%=477.65.
4. We know, that x% equals 401.6 of the output value, so we can write it down as x%=401.6.
5. Now we have two simple equations:
1) 100%=477.65
2) x%=401.6
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%=477.65/401.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 401.6 is what percent of 477.65

100%/x%=477.65/401.6
(100/x)*x=(477.65/401.6)*x       - we multiply both sides of the equation by x
100=1.1893675298805*x       - we divide both sides of the equation by (1.1893675298805) to get x
100/1.1893675298805=x
84.078300010468=x
x=84.078300010468

now we have:
401.6 is 84.078300010468% of 477.65