# 1 is what percent of 52.6?

## Please also explain how do do this.

Mar 18, 2017

1.9%

#### Explanation:

$\frac{x}{100} \times 52.6 = 1$

$52.6 x = 100$

$x = \frac{100}{52.6}$

x= 1.9%

ANSWER: 1.9% Rounded to 1 decimal place

Mar 15, 2018

Note that $\approx$ 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 $\textcolor{g r e e n}{1}$ as a proportion of $\textcolor{red}{52.6}$ 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: $\textcolor{red}{52.6} \times \frac{100}{52.6} = 100$

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

$\frac{\textcolor{g r e e n}{1} \times \frac{100}{52.6}}{\textcolor{red}{52.6} \times \frac{100}{52.6}} \textcolor{w h i t e}{\text{d") =color(white)("d") (color(green)(1)xx100/52.6)/(color(red)(cancel(52.6))xx100/cancel(52.6)) color(white)("d")= color(white)("d}} \frac{1.901140 \ldots .}{100}$

$= 1.901140 \ldots . \underbrace{\times \frac{1}{100}}$
$\textcolor{w h i t e}{\text{dddddddddddddd}} \downarrow$
=1.901140... color(white)("ddd")% see https://socratic.org/s/aPdYxYWZ

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

May 20, 2018

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 $\frac{1}{52.6}$ is as a percent.

1/52.6 xx 100%

=1.9%

If you write the fraction as a decimal we have:

$\frac{1}{52.6} = 0.019$

Multiplying by 100% is the same as multiplying by $\frac{100}{100}$, which is the same as multiplying by $1$

It simply changes the decimal form to a percentage.

0019 xx 100%=1.9%