What percent of 120 is 66?

So on my paper.. I wrote 120 out of 100, because all percents add up to be 100 percent.
And then I wrote = 66 over x.
Is this correct?
and then I would do the butterfly method? ( Cross Multiply)
Thank you!

-Allyson

yes, that will work.

personally, I would just take
66/120 = .55 or 55%

Thank you.

Yes, you are on the right track! To find the percentage, you can set up a proportion and then solve for the unknown value.

In this case, you correctly wrote 120 out of 100 to represent 120 as a percentage. Then, you wrote "= 66 over x," where x represents the unknown percentage you're trying to find.

To solve for x, you can indeed use the "butterfly method" or cross multiplication. Cross multiplication involves multiplying the numerator of one fraction by the denominator of the other fraction. Here's what it would look like in this case:

120/100 = 66/x

Now, let's cross multiply:

120 * x = 100 * 66

This simplifies to:

120x = 6600

Now, you can solve for x by dividing both sides of the equation by 120:

x = 6600 / 120

Simplifying further:

x = 55

So, 55 is the value of x, which represents the percentage you're looking for. Therefore, 66 is 55% of 120.

I hope this explanation helps! Let me know if you have any further questions.