Question

Find the number if: 4.5% of it is 23% of 45

Answer 1

Answer:

230

Step-by-step explanation:

So first you have to find 23% of 45. An easy way to do this is to multiply 45 by 0.23.

45x0.23=10.35

So, 10.35=4.5% of x.

0.045x=10.35; x=10.35/0.045

so...x=230

Hope that helps! Sorry my way is a bit confusing.

Answer 2

Well, let's say the number is "x", so "x" is the 100%.

now, what the dickens is 23% of 45 anyway?

if we take 45 to be the 100%, what is its 23%?

$\bf \begin{array}{ccll} amount&\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 45&100\\ a&23 \end{array}\implies \cfrac{45}{a}=\cfrac{100}{23}\implies \cfrac{45\cdot 23}{100}=a\implies 10.35=a$

ok, well, we know then that 4.5% of "x" is 10.35, we also know that "x" is the 100%, what is "x" anyway?

$\bf \begin{array}{ccll} amount&\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ x&100\\ 10.35&4.5 \end{array}\implies \cfrac{x}{10.35}=\cfrac{100}{4.5}\implies x=\cfrac{10.35\cdot 100}{4.5}$