A bank efficiency ratio is the ratio of a bank's expenses to its revenue. expressed as a percentage. If a bank has 222 million dollars in expenses and an efficiency ratio of 75% what is its revenue in millions of dollars? square

To find the bank's revenue, we need to use the given efficiency ratio and the bank's expenses.<br /><br />The efficiency ratio is defined as the ratio of a bank's expenses to its revenue, expressed as a percentage. In this case, the efficiency ratio is 75%, which means that the bank's expenses are 75% of its revenue.<br /><br />Let's denote the bank's revenue as $R$ (in millions of dollars). Then, the bank's expenses can be calculated as $0.75R$ (since the expenses are 75% of the revenue).<br /><br />We are given that the bank's expenses are $222$ million dollars. So, we can set up the equation:<br /><br />$0.75R = 222$<br /><br />To solve for $R$, we can divide both sides of the equation by $0.75$:<br /><br />$R = \frac{222}{0.75}$<br /><br />Calculating this expression, we get:<br /><br />$R = 296$<br /><br />Therefore, the bank's revenue is $\boxed{296}$ million dollars.