Here are the results of two power perception surveys. One from 1970 and one from 1998.

1970 power perception survey by Alcock and Newcombe

Schwartzman and Araujo (1966) obtained a rank ordering of 20 Latin American countries from 327 university students in Chile, Argentina, and Brazil, based on their perceptions of the countries as high, middle, or low in "prestige or importance." This simple but effective technique was repeated using 38 Canadian subjects, approximately equally divided among adults and students, men and women. The average age was 29, ranging from 15 to 61, and the average level of education was 14 years. These subjects were asked to list 122 nations "in order of their power as they think of them." The ten most powerful nations were to be rated separately, the remainder into four groups of decreasing power; each such group comprised 28 nations. The nations were then scored from 1 to 10 if they were in the first group, 24.5 if in Group B, 52.5 if in Group C, 80.5 if in Group D, and 108.5 if in Group E. The average rank order thus produced is shown in column B of Table 1.
(Alcock & Newcombe 1970: 335−336)

Table 1. RANK ORDERING OF 103 NATIONS AS PERCEIVED BY CANADIAN SUBJECTS.

Can. Subj. Perc.	Nation	GNP	Military Expenditures PPE $ (millions)	Rank order
1	U.S.A.	1	63283	1
2	U.S.S.R.	2	44500	2
3	U.K.	3	5761	4
4	France	6	4639	5
5	China	5	6000	3
6	W. Germany	4	4564	6
7	Canada	7	1705	8
8	Japan	9	1276	10
9	Australia	13	991	14
10	Israel	54	358	30
11	Italy	10	1815	7
12	India	8	1283	9
13	East Germany	17	714	19
14	Sweden	16	1032	12
15	Czechoslovakia	20	1028	13
16	Cuba	41	213	39
17	S. Africa	27	375	29
18	Poland	12	1102	11
19	Netherlands	19	775	17
20	Egypt	37	514	21
21	Yugoslavia	30	742	18
22	Spain	21	954	15
23	Hungary	29	245	37
24	Norway	34	229	38
25	Belgium	15	505	22
26	Greece	42	212	40
27	Denmark	31	281	35
28	Brazil	11	712	20
29	Austria	32	189	41
30	Turkey	26	463	23
31	Finland	36	171	45
32	New Zealand	39	132	50
33	N. Vietnam	65	350	31
34	Argentina	18	326	33
35	Switzerland	23	386	27
36	Mexico	22	159	47
37	Pakistan	25	391	26
38	N. Korea	69	460	24
39	Venezuela	33	178	42
40	Portugal	48	382	28
41	Bulgaria	40	170	46
42	Algeria	49	99	56
43	Indonesia	14	900	16
44	Iran	46	283	34
45	S. Vietnam	63	129	51
46	Saudi Arabia	60	144	48
47	Jordan	94	57	63
48	Rumania	24	265	36
49	S. Korea	38	77	58
50	Ghana	64	59	62
51	Iraq	61	341	32
52	Ireland	51	30	69
53	Syria	67	95	57
54	Cambodia	81	53	64
55	Albania	91	28	71
56	Chile	43	177	44
57	Congo	56	71	60
58	Nigeria	44	76	59
59	Taiwan	52	395	25
60	Laos	100	35	65
61	Thailand	47	117	53
62	Kenya	77	11	83
63	Bolivia	88	13	81
64	Colombia	35	139	49
65	Ethiopia	59	34	66
66	Rhodesia	62	8	91
67	Peru	50	103	55
68	Malaya	45	178	43
69	Uruguay	55	11	82
70	Lebanon	75	30	70
71	Philippines	28	66	61
72	Cyprus	92	10	86
73	Kuwait	74	31	68
74	Panama	90	1	102
75	Morocco	53	125	52
76	Tunisia	68	18	76
77	Burma	58	110	54
78	Ceylon	57	14	80
79	Afghanistan	71	23	73
80	Singapore	76	26	72
81	Luxembourg	82	10	85
82	Sudan	73	10	88
83	Mongolia	103	15	78
84	Tanganyika	78	8	92
85	Iceland	99	0	103
86	Paraguay	95	16	77
87	Liberia	96	3	98
88	Libya	101	34	67
89	Dominican Rep.	72	19	74
90	Ecuador	66	19	75
91	Jamaica	80	5	97
92	Nicaragua	93	9	90
93	Guatemala	70	14	79
94	Guayana	97	6	96
95	Nepal	84	6	95
96	Costa Rica	85	3	101
97	Haiti	86	7	93
98	Honduras	87	7	94
99	Trinidad	89	3	100
100	Somalia	98	9	89
101	El Salvador	79	10	87
102	Madagascar	83	11	84
103	Togo	102	3	99

Source: ALCOCK, Norman Z. & NEWCOMBE, Alan G. 1970. "The perception of national power." Conflict Resolution 14 (3), 335−343.

1998 power perception survey by Jean-Yves Caro

Caro conducted the survey in the first semester of 1998 at the Institute of Higher Studies for National Defense [Institut des hautes études de défense nationale – IHEDN], which is a French public institution for the purpose of training military and civilian public servants in defense matters. 214 students agreed to participate in the survey. The surveyees were asked to assign scores ranging from 1 to 15 for the power of 40 selected countries.

Table 2. The hierarchy of the power of nations

Ranking		Average power	Standard deviation
1	United States	14.38	0.75
2	China	12.11	1.76
3	Japan	12	1.87
4	Germany	11.82	1.88
5	France	11.61	1.81
6	United Kingdom	11.34	1.96
7	Russia	11.32	2.14
8	India	10.24	2.19
9	Israel	9.92	2.31
10	Canada	9.76	2.14
11	Australia	8.65	2.04
12	Spain	8.44	1.98
13	Brazil	8.41	1.9
14	South Africa	8.25	2.23
15	Saudi Arabia	8.12	2.38
16	Iran	7.8	2.03
17	Turkey	7.8	2.3
18	Sweden	7.69	2.48
19	Pakistan	7.38	2.79
20	Argentina	7.18	1.99
21	Indonesia	7.12	2.29
22	Mexico	7.1	2.04
23	Iraq	7.09	2.28
24	Singapore	6.93	2.56
25	Ukraine	6.87	2.71
26	Egypt	6.81	2.13
27	Syria	6.75	2.16
28	Chile	6.23	2.1
29	Poland	5.86	1.96
30	Malaysia	5.78	2.32
31	Morocco	5.76	1.95
32	Nigeria	5.47	2.41
33	Libya	5.37	2.26
34	Algeria	5.27	2.14
35	Colombia	4.76	1.84
36	Uruguay	4.43	1.98
37	Libanon	4.3	2.09
38	Sudan	3.32	1.92
39	Yemen	3.29	1.78
40	Zambia	2.5	1.51

Source: CARO, Jean-Yves. "Les schèmes de perception de la puissance." Les Champs de Mars (2^e semestre), 97−125. Available at:
https://www.cairn.info/revue-les-champs-de-mars-ldm-2000-2-page-97.htm