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Chapter 7: Comparing Quantities > Converting Decimals to Percentage

Converting Decimals to Percentage

We have seen how fractions can be converted to per cents. Let us now find how decimals can be converted to per cents.

Example-4

1.Convert the given decimals to per cents:

Instruction

(a) 0.75

0.75

  • We have 0.75= (Enter fraction form)
  • Multiply the decimal with which gives us the percentage of %
  • Solving we get
  • Hence 0.75 is to 75%.

(b) 0.09

0.09

  • We have 0.09= (Enter fraction form)
  • Multiply the decimal with which gives us the percentage of %
  • Solving we get
  • Hence 0.09 is to 9%.

(c) 0.2

0.2

  • We have 0.2= (Enter fraction form)
  • Multiply the decimal with which gives us the percentage of %
  • Solving we get
  • Hence 0.2 is to 20%.

1. Convert the following to per cents:

(a)1216 = 1216 × 100% = %

(b)3.5 = 3.5 × 100% = × 100% = %

(c)4950 = 4950 × 100 = %

(d)22 = 22 × 100 = %

(e)0.05 = 0.05 × 100% = × 100 = %

2. (i) Out of 32 students, 8 are absent. What per cent of the students are absent? = × 100% = %

(ii) There are 25 radios, 16 of them are out of order. What per cent of radios are out of order? = × 100% = %

(iii) A shop has 500 items, out of which 5 are defective. What per cent are defective? = × 100% = %

(iv) There are 120 voters, 90 of them voted yes. What per cent voted yes? = × 100 = %