53 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 53 of the output value, so we can write it down as x%=53.
5. Now we have two simple equations:
1) 100%=604
2) x%=53
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%=604/53
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 53 is what percent of 604

100%/x%=604/53
(100/x)*x=(604/53)*x       - we multiply both sides of the equation by x
100=11.396226415094*x       - we divide both sides of the equation by (11.396226415094) to get x
100/11.396226415094=x
8.7748344370861=x
x=8.7748344370861

now we have:
53 is 8.7748344370861% of 604