To determine the original value when you know that 16% of it is £88, you can follow these steps:
1. Understand the relationship given in the problem: The problem states that 16% of some original value equals £88. Mathematically, this can be written as:
[tex]\[
0.16 \times \text{original value} = 88
\][/tex]
2. Set up the equation: Let [tex]\( x \)[/tex] represent the original value. Then the equation becomes:
[tex]\[
0.16x = 88
\][/tex]
3. Isolate the original value ([tex]\( x \)[/tex]): To find [tex]\( x \)[/tex], you need to divide both sides of the equation by 0.16:
[tex]\[
x = \frac{88}{0.16}
\][/tex]
4. Perform the division: Calculate [tex]\( \frac{88}{0.16} \)[/tex]:
[tex]\[
x = 550
\][/tex]
5. Conclude the solution: The original value is:
[tex]\[
x = 550
\][/tex]
Therefore, the original value is £550.
