1 is what percent of 52.6?

Please also explain how do do this.

3 Answers
Mar 18, 2017

Answer:

1.9%

Explanation:

#x/(100)xx52.6=1#

# 52.6x=100#

#x= 100/52.6#

#x= 1.9%#

ANSWER: #1.9%# Rounded to 1 decimal place

Mar 15, 2018

Answer:

Note that #~~# means 'approximately equal to'.

#1/52.6~~1.90%# rounded to 2 decimal place - approximate value

#1/52.6=100/52.6 %# exact value

Explanation:

Explaining percentage see my solution: https://socratic.org/s/aPdYxYWZ

The value of #color(green)(1)# as a proportion of #color(red)(52.6)# is #color(white)("dd")color(green)(1)/(color(red)(52.6)#

However, if we wish to express this as a percentage we need to change the bottom number (denominator) into 100.

We can change the denominator by doing this: #color(red)(52.6)xx 100/52.6 =100#

However, for multiply or divide, what we do to the bottom of a fraction we have to do to the top.

#(color(green)(1)xx100/52.6)/(color(red)(52.6)xx100/52.6)color(white)("d") =color(white)("d") (color(green)(1)xx100/52.6)/(color(red)(cancel(52.6))xx100/cancel(52.6)) color(white)("d")= color(white)("d")(1.901140....)/100#

#=1.901140....ubrace( xx 1/100)#
#color(white)("dddddddddddddd")darr#
#=1.901140... color(white)("ddd")%# see https://socratic.org/s/aPdYxYWZ

#1/52.6~~1.90%# rounded to 2 decimal place - approximate value

May 20, 2018

Answer:

#1.9%#

Explanation:

To find out what percent one quantity is of of another quantity, use the method:

#"fraction" xx 100%#

We want to know what #1/52.6# is as a percent.

#1/52.6 xx 100%#

#=1.9%#

If you write the fraction as a decimal we have:

#1/52.6 = 0.019#

Multiplying by #100%# is the same as multiplying by #100/100#, which is the same as multiplying by #1#

It simply changes the decimal form to a percentage.

#0019 xx 100%=1.9%#