Steply

Percent

Harder cases · Foundations · 22 problems, easy to harder

▶ Watch the first one solved

How we do it

  1. Multiply by 100%
  2. Divide
  3. Check

The steps for Write 1/3 as a percent. Every solution names its steps, so you always know what comes next.

Worked examples

Write 1/3 as a percent Easy

The question

Question: write 1/3 as a percent.

13

1 Multiply by 100%

Percent means out of 100.

But 3 does not go into 100 or 1000.

100% is all of it: 1 whole.

Times 1 does not change the size.

100% = 1 whole

So we multiply by 100%.

= 13 × 100%

1 times 100 is 100.

So it is 100/3 percent.

= 1 × 1003% = 1003%

2 Divide

100 divided by 3 is 33, with 1 left over.

100 ÷ 3 = 33 r 1

The 1 left over is still divided by 3: 1/3.

So it is 33⅓%.

= 3313%

Careful!

33% is not exact.

The 1 left over is part of the answer too: a third more.

Careful: not 33% ✗

3 Check

Let's check.

3 times our answer should be 1 times 100%, because 3 times 1/3 is 1.

3 times 33 is 99.

3 times 1/3 is 1.

3 × 33% = 99%, 3 × 13% = 1%

99 plus 1 is 100%: one whole.

So the answer is right!

99% + 1% = 100% = 1 × 100%

Let's look back.

First: multiply by 100%.

Then: divide.

Last: check.

Answer
Careful: not 33% ✗

▶ Watch it solved

Write 5/6 as a percent Medium

The question

Question: write 5/6 as a percent.

56

1 Multiply by 100%

Percent means out of 100.

But 6 does not go into 100 or 1000.

100% is all of it: 1 whole.

Times 1 does not change the size.

100% = 1 whole

So we multiply by 100%.

= 56 × 100%

5 times 100 is 500.

= 5 × 1006% = 5006%

500 and 6 can both be divided by 2.

That keeps the numbers small: 250/3 percent.

= 500 ÷ 26 ÷ 2% = 2503%

2 Divide

250 divided by 3 is 83, with 1 left over.

250 ÷ 3 = 83 r 1

The 1 left over is still divided by 3: 1/3.

So it is 83⅓%.

= 8313%

Careful!

83% is not exact.

The 1 left over is part of the answer too: a third more.

Careful: not 83% ✗

3 Check

Let's check.

6 times our answer should be 5 times 100%, because 6 times 5/6 is 5.

6 times 83 is 498.

6 times 1/3 is 2.

6 × 83% = 498%, 6 × 13% = 2%

498 plus 2 is 500%: 5 wholes.

So the answer is right!

498% + 2% = 500% = 5 × 100%

Let's look back.

First: multiply by 100%.

Then: divide.

Last: check.

Answer
Careful: not 83% ✗

▶ Watch it solved

Write 4/3 as a percent Harder

The question

Question: write 4/3 as a percent.

43

1 Multiply by 100%

Percent means out of 100.

But 3 does not go into 100 or 1000.

100% is all of it: 1 whole.

Times 1 does not change the size.

100% = 1 whole

So we multiply by 100%.

= 43 × 100%

4 times 100 is 400.

So it is 400/3 percent.

= 4 × 1003% = 4003%

2 Divide

400 divided by 3 is 133, with 1 left over.

400 ÷ 3 = 133 r 1

The 1 left over is still divided by 3: 1/3.

So it is 133⅓%.

= 13313%

Careful!

133% is not exact.

The 1 left over is part of the answer too: a third more.

Careful: not 133% ✗

3 Check

Let's check.

3 times our answer should be 4 times 100%, because 3 times 4/3 is 4.

3 times 133 is 399.

3 times 1/3 is 1.

3 × 133% = 399%, 3 × 13% = 1%

399 plus 1 is 400%: 4 wholes.

So the answer is right!

399% + 1% = 400% = 4 × 100%

Let's look back.

First: multiply by 100%.

Then: divide.

Last: check.

Answer
Careful: not 133% ✗

▶ Watch it solved

Practice

Try each one, then open the answer. Stuck? Open the problem to watch every step.

Easy

  1. 1/3 as a percent
    Answer
    Careful: not 33% ✗
  2. 2/3 as a percent
    Answer
    Careful: not 66% ✗
  3. 1/6 as a percent
    Answer
    Careful: not 16% ✗
  4. 12 is 6% of what
    Answer
    100% of ? = 2 × 100 = 200
  5. 8 is 2% of what
    Answer
    100% of ? = 4 × 100 = 400
  6. 9 is 3% of what number
    Answer
    100% of ? = 3 × 100 = 300
  7. 7% of what number is 14
    Answer
    100% of ? = 2 × 100 = 200

Medium

  1. 5/6 as a percent
    Answer
    Careful: not 83% ✗
  2. 1/9 as a percent
    Answer
    Careful: not 11% ✗
  3. 1/12 as a percent
    Answer
    Careful: not 8% ✗
  4. 2/7 as a percent
    Answer
    Careful: not 28% ✗
  5. 7/12 as a percent
    Answer
    Careful: not 58% ✗
  6. 33 is 11% of what
    Answer
    100% of ? = 3 × 100 = 300
  7. 26 is 13% of what
    Answer
    100% of ? = 2 × 100 = 200
  8. 8% of what number is 32
    Answer
    100% of ? = 4 × 100 = 400

Harder

  1. 4/3 as a percent
    Answer
    Careful: not 133% ✗
  2. 7/6 as a percent
    Answer
    Careful: not 116% ✗
  3. 2/6 as a percent
    Answer
    Careful: not 33% ✗
  4. 4/15 as a percent
    Answer
    Careful: not 26% ✗
  5. 51 is 17% of what
    Answer
    100% of ? = 3 × 100 = 300
  6. 84 is 21% of what
    Answer
    100% of ? = 4 × 100 = 400
  7. 48 is 16% of what number
    Answer
    100% of ? = 3 × 100 = 300