Question

56 days is 4% of how many days?

Answer 1

See a solution process below:

Explanation:

First, lets call the number of days we are looking for "d".

"Percent" or "%" means "out of 100" or "per 100", Therefore 4% can be written as `4/100`.

When dealing with percents the word "of" means "times" or "to multiply".

Putting this altogether we can write this equation and solve for `d` while keeping the equation balanced:

`4/100 xx d = 56`

`color(red)(100)/color(blue)(4) xx 4/100 xx d = color(red)(100)/color(blue)(4) xx 56`

`cancel(color(red)(100))/cancel(color(blue)(4)) xx color(blue)(cancel(color(black)(4)))/color(red)(cancel(color(black)(100))) xx d = 5600/color(blue)(4)`

`d = 1400`

4% of `color(red)(1400)` days is 56 days

Answer 2

`1400` days

Explanation:

`x%` means `x/100`, if you are looking for `x%` of a value `y` then it will be `x/100\cdoty`

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Therefore... `4%` of `y` (since we don't have a value, let's use that as a placeholder) is 56... `4/100\cdoty=56`

We can simplify the fraction to a decimal, this gets you `0.04y=56`
To find the value you need, simply divide `56/0.04` and you get the answer:

`56\div0.04=1400` days