53.99 is what percent of 269.99 - 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 269.99 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 269.99, so we can write it down as 100%=269.99.
4. We know, that x% equals 53.99 of the output value, so we can write it down as x%=53.99.
5. Now we have two simple equations:
1) 100%=269.99
2) x%=53.99
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%=269.99/53.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 53.99 is what percent of 269.99

100%/x%=269.99/53.99
(100/x)*x=(269.99/53.99)*x       - we multiply both sides of the equation by x
100=5.0007408779404*x       - we divide both sides of the equation by (5.0007408779404) to get x
100/5.0007408779404=x
19.997036927294=x
x=19.997036927294

now we have:
53.99 is 19.997036927294% of 269.99