32 is what percent of 110? (round to the nearest percent)
The correct answer and explanation is:
To calculate what percentage 32 is of 110, we can use the formula for finding percentages: Percentage=(PartWhole)×100\text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100
Here, the “part” is 32, and the “whole” is 110. Plugging these values into the formula: Percentage=(32110)×100\text{Percentage} = \left( \frac{32}{110} \right) \times 100
First, divide 32 by 110: 32110≈0.2909\frac{32}{110} \approx 0.2909
Next, multiply by 100 to convert the decimal into a percentage: 0.2909×100≈29.090.2909 \times 100 \approx 29.09
Now, rounding 29.09 to the nearest percent gives us: 29\boxed{29}
So, 32 is approximately 29% of 110.
Explanation:
This calculation involves finding the ratio of 32 to 110 and then converting that ratio into a percentage. The idea behind this is to express how much the number 32 represents out of 110 in terms of 100 parts. By dividing 32 by 110, you get a decimal that represents the fraction of 110 that 32 constitutes. When you multiply this decimal by 100, you scale it up to a percentage. The final step is to round the result to the nearest whole number, which in this case is 29%.