0.2% of ? = 53: Percentage of 0.2 (percent) calculated of what missing unknown number equals the given value, 53?
0.2% of what missing number = 53?
Detailed calculations and the verification of the result
A brief introduction. Percent, p%
'Percent (%)' means 'out of one hundred':
0.2% = 0.2 'out of one hundred',
p% is read p 'percent',
p% = p/100 = p ÷ 100
0.2% = 0.2/100 = 0.2 ÷ 100 = 0.002
100% = 100/100 = 100 ÷ 100 = 1
What does it mean: Percentage of 0.2% of which number is equal to 53?
0.2% of what number = 53
... is equivalent to multiplying them:
0.2% × number = 53
Number calculation, finding the missing unknown number
Percentage of 0.2% of what number = 53?
Let y be the number that we have to calculate.
0.2% × y = 53 =>
y =
53 ÷ 0.2% =
53 ÷ (0.2 ÷ 100) =
(100 × 53) ÷ 0.2 =
5,300 ÷ 0.2 =
26,500
0.2% of 26,500 = 53
Proof of the calculations
How do we check the result?
We carry out the reverse operation:
If 0.2% × 26,500 = 53 =>
Divide the number 53 by the number 26,500...
... And see if we get as a result: 0.2%
A quick note:
Multiply a number by the fraction 100/100, ... and its value doesn't change.
100/100 = 100 ÷ 100 = 1
By multiplying a number by the fraction 100/100, we change only the form of the result, not the result.
n/100 = n%, any number.
Calculate the percentage value: See if we get the percentage of 0.2%
We will prove below that the calculations are correct.
53 ÷ 26,500 =
0.002 =
0.002 × 100/100 =
(0.002 × 100)/100 =
0.2/100 =
0.2%
So, we have proven that the calculations were correct. The answer (scroll down)...
Percentage of 0.2% of what number = 53? 0.2% × ? = 53
0.2% of 26,500 = 53
The symbols used: % percent, ÷ division, × multiplication, = the equal sign, / the fraction bar, ≈ approximately the same. Writing numbers: comma ',' - as a thousands separator, point '.' as a decimal mark.
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Three examples of problems that can be solved out using the information in this section:
Problem 1:
25% of the annual profit of a company was invested in buying some new equipment. The total amount invested in buying the new equipment was 100,000 dollars. What was the annual profit of the company?
A number of 20% of the students in the terminal year have enrolled into the swimming class. In total, 7 students have enrolled. How many students are in the terminal year?
Rewrite: 20% of the students means 7 students => 20% × Total number of students = 7 => The total number of students = 7 ÷ 20% = 7 ÷ 20/100 = 7 × 100/20 = 7 × 5 = 35;
Problem 3:
In the last elections 49% of community memebrs voted for the A Party, 32% for the B Party, and the rest for the C Party. 17,920 people voted for the B Party. How many members are in the community, all in all?
Rewrite: 32% of the total community members means 17,920 people => 32% × The total number of community members = 17,920 => The total number of community members = 17,920 ÷ 32% people = 17,920 ÷ 32/100 people = 17,920 × 100/32 people = 17,920/32 × 100 = 560 × 100 people = 56,000 people.