402.6 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 402.6 of the output value, so we can write it down as x%=402.6.
5. Now we have two simple equations:
1) 100%=477.65
2) x%=402.6
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%=477.65/402.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 402.6 is what percent of 477.65

100%/x%=477.65/402.6
(100/x)*x=(477.65/402.6)*x       - we multiply both sides of the equation by x
100=1.1864133134625*x       - we divide both sides of the equation by (1.1864133134625) to get x
100/1.1864133134625=x
84.287658327227=x
x=84.287658327227

now we have:
402.6 is 84.287658327227% of 477.65