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

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Answer 1 · 2017-03-29T01:36:37

See the solution process below:

"Percent" or "%" means "out of 100" or "per 100", Therefore x% can be written as $\frac{x}{100}$ $x/100$ .

We can therefore write this problem as:

$\frac{x}{100} = \frac{2280000}{2370000}$ $x/100 = 2280000/2370000$

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

$\frac{x}{100} = \frac{2.28 \times 10^{6}}{2.37 \times 10^{6}}$ $x/100 = (2.28 xx 10^6)/(2.37 xx 10^6)$

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