A worker has installed \( 65 \% \) of the tiles for a tile floor. It they installed 120 tiles so far, how many tiles are there total? \[ \frac{\text { Part }}{\text { Total }}=\frac{\text { Percent }}{100} \]

To find the total number of tiles, we can set up the equation using the information given. If \( 65\% \) of the tiles equal \( 120 \), we can express this as: \[ \frac{120}{\text{Total}} = \frac{65}{100} \] Next, we can cross-multiply to solve for Total: \[ 120 \times 100 = 65 \times \text{Total} \] This simplifies to: \[ 12000 = 65 \times \text{Total} \] Now, divide both sides by \( 65 \): \[ \text{Total} = \frac{12000}{65} \approx 184.615 \] Since the total count of tiles must be a whole number, we can round to the nearest whole number. Thus, there are approximately \( 185 \) tiles in total. Now you have the total number of tiles for your floor! Happy tiling!