55 is what percent of 5233 - 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 5233 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 5233, so we can write it down as 100%=5233.
4. We know, that x% equals 55 of the output value, so we can write it down as x%=55.
5. Now we have two simple equations:
1) 100%=5233
2) x%=55
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%=5233/55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 55 is what percent of 5233

100%/x%=5233/55
(100/x)*x=(5233/55)*x       - we multiply both sides of the equation by x
100=95.145454545455*x       - we divide both sides of the equation by (95.145454545455) to get x
100/95.145454545455=x
1.051022358112=x
x=1.051022358112

now we have:
55 is 1.051022358112% of 5233