Question

2,280,000 is what percent of 2,370,000?

Answer 1

See the solution process below:

Explanation:

"Percent" or "%" means "out of 100" or "per 100", Therefore x% can be written as `x/100`.

We can therefore write this problem as:

`x/100 = 2280000/2370000`

We can rewrite this in scientific notation as shown below so we are not dealing with such large numbers:

`x/100 = (2.28 xx 10^6)/(2.37 xx 10^6)`

Next, we can cancel like terms on the right side of the equation:

`x/100 = (2.28 xx color(red)(cancel(color(black)(10^6))))/(2.37 xx color(red)(cancel(color(black)(10^6))))`

`x/100 = 2.28/2.37`

Now, multiply each side of the equation by `color(red)(100)` to solve for `x` while keeping the equation balanced:

`color(red)(100) xx x/100 = color(red)(100) xx 2.28/2.37`

`cancel(color(red)(100)) xx x/color(red)(cancel(color(black)(100))) = 228/2.37`

`x = 96.20`

2,280,000 is `color(red)(96.20%)` (rounded to the nearest hundredth) of 2,370,000