I have a number (144) and know that it is 23% of a larger number. How can I calculate what that larger number is?
2007-09-13 23:58:03 · 5 answers · asked by Kim S 3 in Science & Mathematics ➔ Mathematics
Let N be the larger number.
We have 144 x 100 / N = 23
N = 144 x 100 / 23 = 626.0869...
= 626 approx.
2007-09-14 00:04:14 · answer #1 · answered by Swamy 7 · 0⤊ 0⤋
Find the base when the amount and percent are known.
Convert 23% to decimal
Remove the % symbol. Divide 23 by 100
23 / 100 = 0.23
Divide 144 by the decimal
144 / 0.23 =626.0869565
The base is 626.1 rounded to one decimal place.
144 is 23% of 626.1
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2007-09-14 08:28:06 · answer #2 · answered by SAMUEL D 7 · 0⤊ 0⤋
formula=
23% = 144
23% / 23% =1 % = 144 / 23 = 6.2608695... â 6.261
(everything divides by 23)
100% =6.261 x 100 (everything x 100)
=621.6
general tips: try making them into 1% or 10 % first before trying to get the direct answer instead, its clearer.
2007-09-14 07:09:27 · answer #3 · answered by Anonymous · 0⤊ 0⤋
the answer is in the question always with percents.
144 is 23% of a number
144=23/100*n
divide both sides by n
144/n=23/100
cross multiply
23n=14400
/23 ......./23
n=626.086
check it
original equation
23/100*n=144
23/100*626.086=144.00
2007-09-14 07:17:31 · answer #4 · answered by britbutt 3 · 0⤊ 0⤋
You figure out what the other 77% is (482 +change in your example) and add them togeter. (ans. 144+482=626).
2007-09-14 07:09:23 · answer #5 · answered by edmond_dixon 5 · 0⤊ 0⤋