428.15 is what percent of 74880 - 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 74880 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 74880, so we can write it down as 100%=74880.
4. We know, that x% equals 428.15 of the output value, so we can write it down as x%=428.15.
5. Now we have two simple equations:
1) 100%=74880
2) x%=428.15
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%=74880/428.15
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 428.15 is what percent of 74880

100%/x%=74880/428.15
(100/x)*x=(74880/428.15)*x       - we multiply both sides of the equation by x
100=174.89197711083*x       - we divide both sides of the equation by (174.89197711083) to get x
100/174.89197711083=x
0.57178151709402=x
x=0.57178151709402

now we have:
428.15 is 0.57178151709402% of 74880