Question

1 is what percent of 52.6?

Please also explain how do do this.

Answer 1

1.9%

Explanation:

`x/(100)xx52.6=1`

`52.6x=100`

`x= 100/52.6`

`x= 1.9%`

ANSWER: `1.9%` Rounded to 1 decimal place

Answer 2

Note that `~~` means 'approximately equal to'.

`1/52.6~~1.90%` rounded to 2 decimal place - approximate value

`1/52.6=100/52.6 %` exact value

Explanation:

Explaining percentage see my solution: https://socratic.org/s/aPdYxYWZ

The value of `color(green)(1)` as a proportion of `color(red)(52.6)` is `color(white)("dd")color(green)(1)/(color(red)(52.6)`

However, if we wish to express this as a percentage we need to change the bottom number (denominator) into 100.

We can change the denominator by doing this: `color(red)(52.6)xx 100/52.6 =100`

However, for multiply or divide, what we do to the bottom of a fraction we have to do to the top.

`(color(green)(1)xx100/52.6)/(color(red)(52.6)xx100/52.6)color(white)("d") =color(white)("d") (color(green)(1)xx100/52.6)/(color(red)(cancel(52.6))xx100/cancel(52.6)) color(white)("d")= color(white)("d")(1.901140....)/100`

`=1.901140....ubrace( xx 1/100)`
`color(white)("dddddddddddddd")darr`
`=1.901140... color(white)("ddd")%` see https://socratic.org/s/aPdYxYWZ

`1/52.6~~1.90%` rounded to 2 decimal place - approximate value

Answer 3

`1.9%`

Explanation:

To find out what percent one quantity is of of another quantity, use the method:

`"fraction" xx 100%`

We want to know what `1/52.6` is as a percent.

`1/52.6 xx 100%`

`=1.9%`

If you write the fraction as a decimal we have:

`1/52.6 = 0.019`

Multiplying by `100%` is the same as multiplying by `100/100`, which is the same as multiplying by `1`

It simply changes the decimal form to a percentage.

`0019 xx 100%=1.9%`