91Ó°ÊÓ

A percentage is a way to express a number as a fraction of 100. It is denoted using the percent sign (%).
In the problem given, we need to determine what part 50 is of 40 in terms of percentage.
The formula to find the percentage of a part (P) in relation to a whole (W) is:
\[ \text{Percentage} = \frac{P}{W} \times 100 \]
By solving this, we can change the part-to-whole comparison into a more understandable form. In our exercise, 50 is the part (P), and 40 is the whole (W). Therefore, we calculate:
\[ \frac{50}{40} \times 100 = 125\text{%} \]
Thus, 50 is 125% of 40.

Equation solving is the process used to find unknown values that satisfy given mathematical statements.
In the given problem, we represent the unknown percentage with the variable \(x\). The task is to solve for \(x\) in the equation:
\[ 40 \times \frac{x}{100} = 50 \]
To clear the fraction, we first multiply both sides of the equation by 100, giving us:
\[ 40x = 5000 \]
Next, we isolate \(x\) by dividing both sides by 40:
\[ x = \frac{5000}{40} \]
Finally, we simplify the division, finding:
\[ x = 125 \] Thus, the percentage is 125.

Basic algebra involves using variables, constants, and arithmetic operations to solve mathematical problems.
In our problem, we used basic algebra principles to find the value of an unknown variable, \(x\).
First, we set up the equation based on the relationship given in the problem:
\[ 40 \times \frac{x}{100} = 50 \]
Setting up such equations is a fundamental skill in algebra. Next, we applied the principle of isolating the variable to solve for \(x\).
Multiplying by 100 and then dividing by 40 simplified the problem and allowed us to find the solution:
\[ x = 125 \]
This illustrates how algebra can be used to solve real-world problems, like determining percentages or any other values.