6.4 is what percent of 16,000? confused about this expressio

[yufenshi]

yufensi, you can mathematically express this equation as:
6.4 = x/100 * 16,000
By interpreting the words this way:
is means =
what means x (or variable)
percent means /100
of means *

I should try to isolate the x, so I should divide by 16,000 on both sides. I now have:
6.4/16,000 = x/100

Again, to isolate the x, I should multiply by 100 on both sides. I now have
6.4/160 = x

Dividing 6.4 by 160 will get you .04 very quickly.

You can also use approximation:
100% of 16,000 is 16,000
10% of 16,000 is 1,600
1% of 16,000 is 160
.1% of 16,000 is 16
.01% of 16,000 is 1.6

Since 6.4 is between 1.6 and 16, you know that your answer is somewhere between .01% and .1%. The only viable answer is .04%.

Thank you,

[atul.prasad]

x is what percent of y means

what is
(x/y) * 100 ?

[jnelson0612]

Not surprisingly, atul is right again. Thanks atul!

yufensi, you can also mathematically express this equation as:
6.4 = x/100 * 16,000
By interpreting the words this way:
is means =
what means x (or variable)
percent means /100
of means *

I should try to isolate the x, so I should divide by 16,000 on both sides. I now have:
6.4/16,000 = x/100

Again, to isolate the x, I should multiply by 100 on both sides. I now have
6.4/160 = x

Dividing 6.4 by 160 will get you .04 very quickly.

You can also use approximation:
100% of 16,000 is 16,000
10% of 16,000 is 1,600
1% of 16,000 is 160
.1% of 16,000 is 16
.01% of 16,000 is 1.6

Since 6.4 is between 1.6 and 16, you know that your answer is somewhere between .01% and .1%. The only viable answer is .04%.

Thank you,