Answer: [tex]208[/tex]
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:
[tex]\frac{25}{52}=\frac{100}{x}[/tex]
Now you must solve for "x". The steps to find its value are:
- Multiply both sides of the equation by "x":
[tex](x)(\frac{25}{52})=(\frac{100}{x})(x)\\\\\frac{25x}{52}=100[/tex]
- Multiply both sides by 52:
[tex](52)(\frac{25x}{52})=(100)(52)\\\\25x=5200[/tex]
- Divide both sides by 25:
[tex]\frac{25x}{25}=\frac{5200}{25}\\\\x=208[/tex]
