Question

52 is 25% of what number?

Answer 1

Answer: $208$

Step-by-step 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:

$\frac{25}{52}=\frac{100}{x}$

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

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

$(x)(\frac{25}{52})=(\frac{100}{x})(x)\\\\\frac{25x}{52}=100$

- Multiply both sides by 52:

$(52)(\frac{25x}{52})=(100)(52)\\\\25x=5200$

- Divide both sides by 25:

$\frac{25x}{25}=\frac{5200}{25}\\\\x=208$