51.3 is what percent of 253 - 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 253 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 253, so we can write it down as 100%=253.
4. We know, that x% equals 51.3 of the output value, so we can write it down as x%=51.3.
5. Now we have two simple equations:
1) 100%=253
2) x%=51.3
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%=253/51.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 51.3 is what percent of 253

100%/x%=253/51.3
(100/x)*x=(253/51.3)*x       - we multiply both sides of the equation by x
100=4.9317738791423*x       - we divide both sides of the equation by (4.9317738791423) to get x
100/4.9317738791423=x
20.276679841897=x
x=20.276679841897

now we have:
51.3 is 20.276679841897% of 253