375.43 is what percent of 476 - 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 476 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 476, so we can write it down as 100%=476.
4. We know, that x% equals 375.43 of the output value, so we can write it down as x%=375.43.
5. Now we have two simple equations:
1) 100%=476
2) x%=375.43
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%=476/375.43
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 375.43 is what percent of 476

100%/x%=476/375.43
(100/x)*x=(476/375.43)*x       - we multiply both sides of the equation by x
100=1.2678794981754*x       - we divide both sides of the equation by (1.2678794981754) to get x
100/1.2678794981754=x
78.871848739496=x
x=78.871848739496

now we have:
375.43 is 78.871848739496% of 476