53 is what percent of 1198 - 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 1198 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 1198, so we can write it down as 100%=1198.
4. We know, that x% equals 53 of the output value, so we can write it down as x%=53.
5. Now we have two simple equations:
1) 100%=1198
2) x%=53
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%=1198/53
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 53 is what percent of 1198

100%/x%=1198/53
(100/x)*x=(1198/53)*x       - we multiply both sides of the equation by x
100=22.603773584906*x       - we divide both sides of the equation by (22.603773584906) to get x
100/22.603773584906=x
4.424040066778=x
x=4.424040066778

now we have:
53 is 4.424040066778% of 1198