Respuesta :

81 = 37.5% of x.

81 = (37.5/100)*x

81 = 0.375x

0.375x = 81

x = 81/0.375

x = 216

The number is 216.

Answer:

81 is 37.5% of 216

Step-by-step explanation:

We start assuming that for a greater percentage, the number will be higher.

Also, for a smaller number the percentage will be lower. This relationship is a direct relationship. We also know that this relationship is a linear relationship.

To find the value of the number ''x'' we need to know the 100% of this number. The data that we have is that the 37.5% of the number is 81.

To find the 100% we write the following equation :

[tex]\frac{81}{37.5}=\frac{x}{100}[/tex]

This equation expresses that 81 is the 37.5% therefore ''x'' is the 100%.

Solving for the value of ''x'' :

[tex]\frac{81}{37.5}=\frac{x}{100} \\x=\frac{(81).(100)}{37.5}=216\\ x=216[/tex]

We find that 81 is the 37.5% of 216