53 is what percent of 4456 - 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 4456 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 4456, so we can write it down as 100%=4456.
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%=4456
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%=4456/53
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 4456

100%/x%=4456/53
(100/x)*x=(4456/53)*x       - we multiply both sides of the equation by x
100=84.075471698113*x       - we divide both sides of the equation by (84.075471698113) to get x
100/84.075471698113=x
1.189407540395=x
x=1.189407540395

now we have:
53 is 1.189407540395% of 4456