63 is 90% of what number?

3 Answers
Mar 25, 2018

Let the number be #x#. Now,
#rArr90% of x= 63#

#rArr90/100 xx x=63#

#rArr9x = 63 xx 10#

#rArr x= (63 xx 10)/9 #

#rArr x=7 xx 10#

#rArr x= 70 #

Therefore, the value of #x# = 70.
Please let me know if it helped you or not, one way or the other:)

Mar 25, 2018

#63# is #90%# of #70#.

Explanation:

First, translate the question into math.

Here's what I mean by that:

#stackrel(63) overbrace("60") " " stackrel(=) overbrace("is") " " stackrel(90%) overbrace("90%") " " stackrel(xx) overbrace("of") " " stackrel(x) overbrace("what number") "?"#

Now copy that equation and solve for #x#:

#63=90%xxx#

#63=0.9xxx#

#63=9/10xxx#

#63color(blue)(xx10)=9/10xxxcolor(blue)(xx10)#

#63color(blue)(xx10)=9/color(red)cancelcolor(black)10xxxcolor(blue)(xxcolor(red)cancelcolor(blue)10)#

#63color(blue)(xx10)=9xxx#

#630=9xxx#

#color(blue)(color(black)630/9)=color(blue)(color(black)(9xxx)/9)#

#color(blue)(color(black)630/9)=color(blue)(color(black)(color(red)cancelcolor(black)9xxx)/color(red)cancelcolor(blue)9)#

#color(blue)(color(black)630/9)=x#

#70=x#

That's the answer. Hope this helped!

Mar 25, 2018

#70#

Explanation:

#70#
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