53.04 is what percent of 4257.46 - 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 4257.46 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 4257.46, so we can write it down as 100%=4257.46.
4. We know, that x% equals 53.04 of the output value, so we can write it down as x%=53.04.
5. Now we have two simple equations:
1) 100%=4257.46
2) x%=53.04
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%=4257.46/53.04
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 53.04 is what percent of 4257.46

100%/x%=4257.46/53.04
(100/x)*x=(4257.46/53.04)*x       - we multiply both sides of the equation by x
100=80.268853695324*x       - we divide both sides of the equation by (80.268853695324) to get x
100/80.268853695324=x
1.2458132313633=x
x=1.2458132313633

now we have:
53.04 is 1.2458132313633% of 4257.46