Mariah @ Tamaki Primary School: maths

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 percentages.

Amount / total x 100 =

E.g. 20/35 x 100 = 57%

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