# What percent of 3.8 is 38?

kborgeson | Certified Educator

calendarEducator since 2009

starTop subjects are Math, Literature, and History

With percent questions the best way to do it is to use the formula %/100 = is/of.  I teach my students this and it works every time.

Your question "What percent of 3.8 is 38?" will fit right into the formula.  % is the unknown, so it goes in the formula as xOf is the number 3.8, and is will be 38.  Fill these into the formula, cross multiply and solve for x.

x/100 = 38/3.8 (cross multipy)

3.8x = 3800 (divide both sides by 3.8 to get x alone)

3.8x/3.8 = 3800/3.8

x = 1000%

This makes sence because 3.8 is much smaller than 38, so it makes sence that 38 is 1000% higher than 3.8.  Hope this helps.  :)

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## Related Questions

enotechris | Certified Educator

calendarEducator since 2007

starTop subjects are History, Science, and Literature

If 3.8 represents 100%, 38 represents ten times that amount, or 1000%.  A general method of solving these kinds of problems is to set up a ratio.  Three point eight is to a hundred as 38 is to x, and solve for the unknown:

1)  3.8/100 = 38/x

2)  3800 = 3.8x

3)  1000 = x

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sid-sarfraz | Student

Question:-

What percent of 3.8 is 38?

Solution:-

Now easy way for solving this is to turn it into an equation form. like this,

Since we want to calculate the percent so lets take 'a' in its place;

a/100 of 38 = 3.8

a/100 x 38 = 3.8

a/100 = 3.8/38

a/100 = 0.1

a = 0.1 x 100

a = 10

To check;

10% of 38 is 3.8

Hence;

10/100 x 38

= 380/100

=38/10

=3.8

Hence Proved....

malkaam | Student

What percent of 3.8 is 38?

let x be the percent,

x% of 38 = 3.8

x% * 38 = 3.8

x% = 3.8/38

x% = 0.1

x/100 = 0.1

x= 0.1*100

x= 10%

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givingiswinning | Student

`3.8/100 = 38/x `

3800 = 3.8x

divide by 3.8

1000 = x

nisarg | Student

3.8=100%

38 is 10 times 3.8 so 100% * 10= %1000

38 is 1000% of 3.8 100%

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nisarg | Student

3.8 is 100% percent

3.8*10=38=100%*10

38= 1000%

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Wiggin42 | Student

What percent of 3.8 is 38?

Of signifies multiplication. The "what percent" can be written as x/100 This problem can be set up as

`(x)/(100) xx 3.8 = 38`

Now we can solve for x:

`x = (38)/(3.8) xx 100`

x = 1000

This means 1000% of 3.8 is 38. We know the percent had to be greater than 1 since 38 is greater than 3.8.

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atyourservice | Student

What percent of 3.8 is 38?

cross multiply

x/100 = 38/3.8

3.8x = 3800

divide by 3.8

x = 1000

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revolution | Student

percentage= worked-out value/ used value * 100%

=38/3.8x100%

= 10 x 100%

= 1000%

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