Question

52 is 25% of what number?

Answer 1

Answer:
`208`

Explanation:

Let be "x" the unknown number.

You know that the 25% of the unknown number "x" is 52.

With this information provided in the exercise, you can set up the following proportion:

`(25)/(52)=(100)/(x)`

Now you must solve for "x". The steps to find its value are:

- Multiply both sides of the equation by "x":

`(x)((25)/(52))=((100)/(x))(x)\\\\(25x)/(52)=100`

- Multiply both sides by 52:

`(52)((25x)/(52))=(100)(52)\\\\25x=5200`

- Divide both sides by 25:

`(25x)/(25)=(5200)/(25)\\\\x=208`