42977.84 is what percent of 604776.41 - 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 604776.41 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 604776.41, so we can write it down as 100%=604776.41.
4. We know, that x% equals 42977.84 of the output value, so we can write it down as x%=42977.84.
5. Now we have two simple equations:
1) 100%=604776.41
2) x%=42977.84
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%=604776.41/42977.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42977.84 is what percent of 604776.41

100%/x%=604776.41/42977.84
(100/x)*x=(604776.41/42977.84)*x       - we multiply both sides of the equation by x
100=14.071819570272*x       - we divide both sides of the equation by (14.071819570272) to get x
100/14.071819570272=x
7.1064015211837=x
x=7.1064015211837

now we have:
42977.84 is 7.1064015211837% of 604776.41