53 is what percent of 2493 - 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 2493 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 2493, so we can write it down as 100%=2493.
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%=2493
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%=2493/53
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 2493

100%/x%=2493/53
(100/x)*x=(2493/53)*x       - we multiply both sides of the equation by x
100=47.037735849057*x       - we divide both sides of the equation by (47.037735849057) to get x
100/47.037735849057=x
2.1259526674689=x
x=2.1259526674689

now we have:
53 is 2.1259526674689% of 2493