52.8 is what percent of 266 - 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 266 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 266, so we can write it down as 100%=266.
4. We know, that x% equals 52.8 of the output value, so we can write it down as x%=52.8.
5. Now we have two simple equations:
1) 100%=266
2) x%=52.8
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%=266/52.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 52.8 is what percent of 266

100%/x%=266/52.8
(100/x)*x=(266/52.8)*x       - we multiply both sides of the equation by x
100=5.0378787878788*x       - we divide both sides of the equation by (5.0378787878788) to get x
100/5.0378787878788=x
19.84962406015=x
x=19.84962406015

now we have:
52.8 is 19.84962406015% of 266