Percentage to decimals

Converting percentage to decimals you must remember

100%=1

50%=0.5

25%=0.25

75%=0.75

33\1/3%=0.3dot3

66\2/3%=0.6dot6

10%=0.1

20%=0.2

But knowing 100%=1 will also help you solve any inbetween percentages.

Example 1

Express 0.31 as a percentage

to do this remember 100%=1

and also read this in conjunction with the section on percentages.

Which states

1. Write out what 100% is
2. Write out what we know
3. Keep % on one side

1. Write out what 100% is         100%=1

2. Write out what we know              x%=0.31

(100%)/(x%)=1/0.31

Now work out what x is

Multiply by x on both sides to get x on its own.

(cancelx100)/cancelx=1/0.31timesx

100=x/0.31

Multiply both sides by 0.31 to get x on its own.

0.31times100=(xcancel0.31)/cancel0.31

x=100times0.31

x=31%

Example 2

Convert 0.125 to a %

1. Write out what 100% is         100%=1

2. Write out what we know              x%=0.125

(Keep the % sign on the same side)

(100%)/(x%)=1/0.125

Now work out what x is

Multiply by x on both sides to get x on its own.

(cancelx100)/cancelx=1/0.125timesx

100=x/0.125

Multiply both sides by 0.125 to get x on its own.

0.125times100=(xcancel0.125)/cancel0.125

x=100times0.125

x=12.5%

Example 3

What is 1.04 converted to a %

1. Write out what 100% is         100%=1

2. Write out what we know              x%=1.04

(Keep the % sign on the same side)

(100%)/(x%)=1/1.04

Now work out what x is

Multiply by x on both sides to get x on its own.

(cancelx100)/cancelx=1/1.04timesx

100=x/1.04

Multiply both sides by 1.04 to get x on its own.

1.04times100=(xcancel1.04)/cancel1.04

x=100times1.04

x=104%

Example 4

What is 0.005 converted to a %

1. Write out what 100% is         100%=1

2. Write out what we know              x%=0.005

(Keep the % sign on the same side)

(100%)/(x%)=1/0.005

Now work out what x is

Multiply by x on both sides to get x on its own.

(cancelx100)/cancelx=1/0.005timesx

100=x/0.005

Multiply both sides by 0.005 to get x on its own.

0.005times100=(xcancel0.005)/cancel0.005

x=100times0.005

x=0.5%