52 is what percent of 278 - 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 278 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 278, so we can write it down as 100%=278.
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%=278
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%=278/52
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 278

100%/x%=278/52
(100/x)*x=(278/52)*x       - we multiply both sides of the equation by x
100=5.3461538461538*x       - we divide both sides of the equation by (5.3461538461538) to get x
100/5.3461538461538=x
18.705035971223=x
x=18.705035971223

now we have:
52 is 18.705035971223% of 278