53.24 is what percent of 266.24 - 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 266.24 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 266.24, so we can write it down as 100%=266.24.
4. We know, that x% equals 53.24 of the output value, so we can write it down as x%=53.24.
5. Now we have two simple equations:
1) 100%=266.24
2) x%=53.24
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%=266.24/53.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 53.24 is what percent of 266.24

100%/x%=266.24/53.24
(100/x)*x=(266.24/53.24)*x       - we multiply both sides of the equation by x
100=5.0007513148009*x       - we divide both sides of the equation by (5.0007513148009) to get x
100/5.0007513148009=x
19.996995192308=x
x=19.996995192308

now we have:
53.24 is 19.996995192308% of 266.24