Comparing percentages worksheet for math practice.

To solve these problems, we need to calculate the value of each percentage expression and then compare them using $>$ (greater than), $<$ (less than), or $=$ (equal to).

Here is the step-by-step calculation for each pair:

1. 99% of 125 vs 123% of 102
* $99\% \text{ of } 125 = 0.99 \times 125 = 123.75$
* $123\% \text{ of } 102 = 1.23 \times 102 = 125.46$
* $123.75 < 125.46$
* Answer: <

2. 99% of 82 vs 140% of 55
* $99\% \text{ of } 82 = 0.99 \times 82 = 81.18$
* $140\% \text{ of } 55 = 1.40 \times 55 = 77$
* $81.18 > 77$
* Answer: >

3. 55% of 88 vs 23% of 155
* $55\% \text{ of } 88 = 0.55 \times 88 = 48.4$
* $23\% \text{ of } 155 = 0.23 \times 155 = 35.65$
* $48.4 > 35.65$
* Answer: >

4. 177% of 150 vs 118% of 225
* $177\% \text{ of } 150 = 1.77 \times 150 = 265.5$
* $118\% \text{ of } 225 = 1.18 \times 225 = 265.5$
* $265.5 = 265.5$
* Answer: =

5. 23% of 150 vs 22% of 159
* $23\% \text{ of } 150 = 0.23 \times 150 = 34.5$
* $22\% \text{ of } 159 = 0.22 \times 159 = 34.98$
* $34.5 < 34.98$
* Answer: <

6. 5% of 175 vs 6% of 125
* $5\% \text{ of } 175 = 0.05 \times 175 = 8.75$
* $6\% \text{ of } 125 = 0.06 \times 125 = 7.5$
* $8.75 > 7.5$
* Answer: >

7. 112% of 100 vs 56% of 200
* $112\% \text{ of } 100 = 1.12 \times 100 = 112$
* $56\% \text{ of } 200 = 0.56 \times 200 = 112$
* $112 = 112$
* Answer: =

8. 95% of 125 vs 120% of 100
* $95\% \text{ of } 125 = 0.95 \times 125 = 118.75$
* $120\% \text{ of } 100 = 1.20 \times 100 = 120$
* $118.75 < 120$
* Answer: <

9. 57% of 900 vs 110% of 500
* $57\% \text{ of } 900 = 0.57 \times 900 = 513$
* $110\% \text{ of } 500 = 1.10 \times 500 = 550$
* $513 < 550$
* Answer: <

10. 64% of 125 vs 75% of 100
* $64\% \text{ of } 125 = 0.64 \times 125 = 80$
* $75\% \text{ of } 100 = 0.75 \times 100 = 75$
* $80 > 75$
* Answer: >

11. 149% of 175 vs 148% of 177
* $149\% \text{ of } 175 = 1.49 \times 175 = 260.75$
* $148\% \text{ of } 177 = 1.48 \times 177 = 261.96$
* $260.75 < 261.96$
* Answer: <

12. 88% of 125 vs 100% of 110
* $88\% \text{ of } 125 = 0.88 \times 125 = 110$
* $100\% \text{ of } 110 = 1.00 \times 110 = 110$
* $110 = 110$
* Answer: =

13. 225% of 185 vs 110% of 300
* $225\% \text{ of } 185 = 2.25 \times 185 = 416.25$
* $110\% \text{ of } 300 = 1.10 \times 300 = 330$
* $416.25 > 330$
* Answer: >

14. 155% of 125 vs 50% of 300
* $155\% \text{ of } 125 = 1.55 \times 125 = 193.75$
* $50\% \text{ of } 300 = 0.50 \times 300 = 150$
* $193.75 > 150$
* Answer: >

15. 55% of 420 vs 165% of 140
* $55\% \text{ of } 420 = 0.55 \times 420 = 231$
* $165\% \text{ of } 140 = 1.65 \times 140 = 231$
* $231 = 231$
* Answer: =

16. 111% of 310 vs 90% of 400
* $111\% \text{ of } 310 = 1.11 \times 310 = 344.1$
* $90\% \text{ of } 400 = 0.90 \times 400 = 360$
* $344.1 < 360$
* Answer: <

Final Answer:
99% of 125 < 123% of 102
99% of 82 > 140% of 55
55% of 88 > 23% of 155
177% of 150 = 118% of 225
23% of 150 < 22% of 159
5% of 175 > 6% of 125
112% of 100 = 56% of 200
95% of 125 < 120% of 100
57% of 900 < 110% of 500
64% of 125 > 75% of 100
149% of 175 < 148% of 177
88% of 125 = 100% of 110
225% of 185 > 110% of 300
155% of 125 > 50% of 300
55% of 420 = 165% of 140
111% of 310 < 90% of 400