54 is what percent of 604 - 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 604 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 604, so we can write it down as 100%=604.
4. We know, that x% equals 54 of the output value, so we can write it down as x%=54.
5. Now we have two simple equations:
1) 100%=604
2) x%=54
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%=604/54
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 54 is what percent of 604

100%/x%=604/54
(100/x)*x=(604/54)*x       - we multiply both sides of the equation by x
100=11.185185185185*x       - we divide both sides of the equation by (11.185185185185) to get x
100/11.185185185185=x
8.9403973509934=x
x=8.9403973509934

now we have:
54 is 8.9403973509934% of 604