Finding the Base Number from a Percentage
To find out what number 22 is 220% of, we need to set up the equation based on the definition of percent. The word 'percent' means 'per hundred', so when we say 220%, we are saying 220 per every 100 units of another number, which we are trying to find. We represent this unknown number with a variable, let's call it x.
We can write the equation as 220% of x = 22. In mathematical terms, this translates to (220/100) * x = 22. Our goal is to find the value of x.
Firstly, we convert the percentage to a decimal by dividing by 100: 220% / 100 = 2.20.
Next, we rewrite our equation with this decimal: 2.20 * x = 22.
To isolate x, we divide both sides of the equation by 2.20: x = 22 / 2.20.
Finally, we perform the division: x = 10.
Therefore, 22 is 220% of 10.