Converting between decimals and percentages is easy when you know what to look for.
Remember that 1.00 = 1 whole = 100% - these things are all the same.
So 0.50 will be 50%, 0.30 = 30%, 0.10 is 10%.
E.g. using different place value positions
12.87 = 1,287%
4.56 = 456%
1.42 = 142%
0.56 = 56%
0.09 = 9%
0.005 = 0.5%
*Remember to check your place value*
Change these decimals into percentages (put it next to the decimal).
|
Decimal
|
Percentage
|
Decimal
|
Percentage
|
0.12
|
12%
|
0.99
|
99%
|
0.76
|
76%
|
0.76
|
76%
|
0.80
|
80%
|
0.34
|
34%
|
1.00
|
100%
|
0.45
|
45%
|
2.00
|
200%
|
1.23
|
123%
|
5.6
|
560%
|
0.99
|
99%
|
0.44
|
44%
|
1.45
|
145%
|
0.32
|
32%
|
8.65
|
865%
|
0.56
|
56%
|
1.45
|
145%
|
0.09
|
0.09%
|
3.65
|
365%
|
0.07
|
0.7%
|
1.22
|
122%
|
1.34
|
134%
|
12.09
|
120.9%
|
0.23
|
23%
|
0.06
|
6%
|
0.776
|
77.6%
|
0.045
|
0.45%
|
0.087
|
0.87%
|
0.32
|
32%
|
0.124
|
12.4%
|
0.08
|
8%
|
1.579
|
157.9%
|
0.3
|
3%
|
2.40
|
240%
|
0.04
|
4%
|
2.04
|
204%
|
0.001
|
0.1%
|
0.01
|
1%
|
0.012
|
12%
|
To change from percentages to decimals, do the opposite.
|
Percentage
|
Decimal
|
Percentage
|
Decimal
|
10%
|
0.10
|
66%
|
0.66
|
20%
|
0.20
|
40%
|
0.40
|
15%
|
0.15
|
30%
|
0.30
|
100%
|
1.00
|
0%
|
0.00
|
150%
|
1.50
|
87%
|
0.87
|
200%
|
2.00
|
12%
|
0.12
|
165%
|
1.65
|
1%
|
0.01
|
45%
|
0.45
|
90%
|
0.90
|
90%
|
0.90
|
70%
|
0.70
|
80%
|
0.80
|
60%
|
0.60
|
60%
|
0.60
|
54%
|
0.54
|
65%
|
0.65
|
45%
|
0.45
|
55%
|
0.55
|
87%
|
0.87
|
34%
|
0.34
|
23%
|
0.23
|
12%
|
0.12
|
54%
|
0.54
|
5%
|
0.05
|
29%
|
0.29
|
1%
|
0.01
|
12%
|
0.12
|
4%
|
0.04
|
56%
|
0.56
|
2%
|
0.02
|
23%
|
0.23
|
0.5%
|
0.005
|
78%
|
0.78
|
98%
|
0.98
|
56%
|
0.56
|
99.5%
|
9.95
|
123%
|
1.23
|
120%
|
1.20
|
134%
|
1.34
|
150%
|
1.50
|
165%
|
1.65
|
Everyone should be able to find 10% of an amount easily, because there is a place value trick to it.
If you are finding harder percentages, there is a formula to use (calculator allowed!)
Finding 10% in your head. Pick up the decimal place and move it one spot to the left -
E.g. $45.00 - move the decimal - $4.50 -- so 10% of $45 is $4.50
Finding 10% in your head
|
|
10% of that number
|
$150.00
|
$15.00
|
$65.00
|
$6.50
|
$75.00
|
$7.50
|
$90.00
|
9.00
|
$140
|
14.00
|
$120
|
12.00
|
$125
|
12.50
|
$199.99
|
19.99
|
$250
|
25.00
|
$49.99
|
4.99
|
$1,500
|
150.00
|
$4,950
|
495.95
|
Finding percentages.
Amount / total x 100 =
E.g. 20/35 x 100 = 57%
|
= Percentage
|
14/20
|
70%
|
3/15
|
20%
|
60/80
|
75%
|
45/50
|
90%
|
87/90
|
96.67%
|
14/30
|
46.66%
|
65/80
|
18.25
|
17/35
|
48.57
|
19/25
|
76.00
|
17/20
|
85.00
|
16/27
|
59.25
|
26/29
|
89.65
|
15/28
|
53.57
|
13/29
|
44.82
|
19/32
|
59.37
|
27/46
|
58.69
|
19/70
|
27.14
|
3/45
|
6.66
|
18/95
|
18.94
|
14/65
|
21.53
|
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