In order to solve this problem, we need to understand the relationship between percentages and ratios. Percents can be written as a value over a whole. In this case , our whole is one-hundred percent; therefore, we can write the following:

\(\displaystyle 18\%=\frac{18}{100}\)

Now, we need to create a relationship between our known value and the number we need to calculate. In the problem, we know that \(\displaystyle 24\) is \(\displaystyle 18\%\) of another number we will name, \(\displaystyle x\). Using this information we need to construct a proportion. We can write the following proportion:

\(\displaystyle \frac{24}{x}=\frac{18}{100}\)

We can cross multiply and solve for the unknown variable.

\(\displaystyle \frac{24}{x}\times\frac{18}{100}\)

Rewrite.

\(\displaystyle 24\times100=18\times x\)

Simplify.

\(\displaystyle 2400=18x\)

Divide both sides of the equation by \(\displaystyle 18\).

\(\displaystyle \frac{2400}{18}=\frac{18x}{18}\)

Solve.

\(\displaystyle x=133.\bar{3}\)

In order to solve this problem, we need to understand the relationship between percentages and ratios. Percents can be written as a value over a whole. In this case , our whole is one-hundred percent; therefore, we can write the following:

\(\displaystyle 60\%=\frac{60}{100}\)

Now, we need to create a relationship between our known value and the number we need to calculate. In the problem, we know that \(\displaystyle 30\) is \(\displaystyle 60\%\) of another number we will name, \(\displaystyle x\). Using this information we need to construct a proportion. We can write the following proportion:

\(\displaystyle \frac{30}{x}=\frac{60}{100}\)

We can cross multiply and solve for the unknown variable.

\(\displaystyle \frac{30}{x}\times\frac{60}{100}\)

Rewrite.

\(\displaystyle 30\times100=60\times x\)

Simplify.

\(\displaystyle 3000=60x\)

Divide both sides of the equation by \(\displaystyle 60\).

\(\displaystyle \frac{3000}{60}=\frac{60x}{60}\)

Solve.

\(\displaystyle x=50\)

In order to solve this problem, we need to understand the relationship between percentages and ratios. Percents can be written as a value over a whole. In this case , our whole is one-hundred percent; therefore, we can write the following:

\(\displaystyle 22\%=\frac{22}{100}\)

Now, we need to create a relationship between our known value and the number we need to calculate. In the problem, we know that ore whole number is \(\displaystyle 188\) and we need to calculate \(\displaystyle 22\%\) of this number. We will name this variable, \(\displaystyle x\). Using this information we need to construct a proportion. We can write the following proportion:

\(\displaystyle \frac{x}{188}=\frac{22}{100}\)

We can cross multiply and solve for the unknown variable.

\(\displaystyle \frac{x}{188}\times\frac{22}{100}\)

Rewrite.

\(\displaystyle 100\times x=22\times 188\)

Simplify.

\(\displaystyle 100x=4136\)

Divide both sides of the equation by \(\displaystyle 100\).

\(\displaystyle \frac{4136}{100}=\frac{100x}{100}\)

Solve.

\(\displaystyle x=41.36\)

In order to solve this problem, we need to understand the relationship between percentages and ratios. Percents can be written as a value over a whole. In this case , our whole is one-hundred percent; therefore, we can write the following:

\(\displaystyle 20\%=\frac{20}{100}\)

Now, we need to create a relationship between our known value and the number we need to calculate. In the problem, we know that ore whole number is \(\displaystyle 300\) and we need to calculate \(\displaystyle 20\%\) of this number. We will name this variable, \(\displaystyle x\). Using this information we need to construct a proportion. We can write the following proportion:

\(\displaystyle \frac{x}{300}=\frac{20}{100}\)

We can cross multiply and solve for the unknown variable.

\(\displaystyle \frac{x}{300}\times\frac{20}{100}\)

Rewrite.

\(\displaystyle 100\times x=20\times 300\)

Simplify.

\(\displaystyle 100x=6000\)

Divide both sides of the equation by \(\displaystyle 100\).

\(\displaystyle \frac{6000}{100}=\frac{100x}{100}\)

Solve.

\(\displaystyle x=60\)