To solve the problem of finding 23% of [tex]\( x \)[/tex] when 10% of [tex]\( x \)[/tex] is given as 20, follow these steps:
1. Understand the given information:
- We know that 10% of [tex]\( x \)[/tex] is equal to 20. Mathematically, this can be written as:
[tex]\[
0.10 \cdot x = 20
\][/tex]
2. Find the value of [tex]\( x \)[/tex]:
- To isolate [tex]\( x \)[/tex], divide both sides of the equation by 0.10:
[tex]\[
x = \frac{20}{0.10} = 200
\][/tex]
3. Calculate 23% of [tex]\( x \)[/tex]:
- Now that we know [tex]\( x \)[/tex] is 200, we need to find what 23% of 200 is.
- Mathematically, this can be done by multiplying 200 by 0.23:
[tex]\[
0.23 \cdot 200 = 46
\][/tex]
So, 23% of [tex]\( x \)[/tex] is [tex]\(\boxed{46}\)[/tex].
