476.63 is what percent of 3050 - 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 3050 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 3050, so we can write it down as 100%=3050.
4. We know, that x% equals 476.63 of the output value, so we can write it down as x%=476.63.
5. Now we have two simple equations:
1) 100%=3050
2) x%=476.63
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%=3050/476.63
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 476.63 is what percent of 3050

100%/x%=3050/476.63
(100/x)*x=(3050/476.63)*x       - we multiply both sides of the equation by x
100=6.3990936365734*x       - we divide both sides of the equation by (6.3990936365734) to get x
100/6.3990936365734=x
15.627213114754=x
x=15.627213114754

now we have:
476.63 is 15.627213114754% of 3050