52 is what percent of 4151 - 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 4151 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 4151, so we can write it down as 100%=4151.
4. We know, that x% equals 52 of the output value, so we can write it down as x%=52.
5. Now we have two simple equations:
1) 100%=4151
2) x%=52
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%=4151/52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 52 is what percent of 4151

100%/x%=4151/52
(100/x)*x=(4151/52)*x       - we multiply both sides of the equation by x
100=79.826923076923*x       - we divide both sides of the equation by (79.826923076923) to get x
100/79.826923076923=x
1.2527101903156=x
x=1.2527101903156

now we have:
52 is 1.2527101903156% of 4151