To find the original value when 18% of it equals £81, we need to follow these steps:
1. Understand the relationship: We know that 18% of the original value gives us £81. Mathematically, this can be written as:
[tex]\[
0.18 \times \text{Original Value} = 81
\][/tex]
2. Set up the equation: To find the original value, we’ll represent it as [tex]\( x \)[/tex]. So the equation becomes:
[tex]\[
0.18x = 81
\][/tex]
3. Isolate the variable: To solve for [tex]\( x \)[/tex], we need to isolate it on one side of the equation. We can do this by dividing both sides by 0.18:
[tex]\[
x = \frac{81}{0.18}
\][/tex]
4. Divide to find [tex]\( x \)[/tex]:
[tex]\[
x = 450
\][/tex]
Therefore, the original value is [tex]\( £450 \)[/tex].
