Online calculator: percentage of what number equals the given number?
2.5% of ? = 2.5: Percentage of 2.5 (Percent) Calculated of What Missing Unknown Number Equals the Given Value, 2.5? How Do You Find the Missing Unknown Number? All the Steps, Explained
2.5% of what missing number = 2.5? 2.5% × ? = 2.5
Brief Introduction. Finding the Missing Unknown Number. Verification of the Result. Answer
A brief introduction. Percent, p%
'Percent (%)' means 'out of one hundred':
2.5% = 2.5 'out of one hundred',
p% is read p 'percent',
2.5% = 2.5/100 = 2.5 ÷ 100 = 0.025
100% = 100/100 = 100 ÷ 100 = 1
What does it mean: Percentage of 2.5% of which number is equal to 2.5?
2.5% of what number = 2.5
... is equivalent to multiplying them:
2.5% × number = 2.5
Number calculation, finding the missing unknown number
Percentage of 2.5% of what number = 2.5?
Let y be the number that we have to calculate.
2.5% × y = 2.5 =>
y =
2.5 ÷ 2.5% =
2.5 ÷ (2.5 ÷ 100) =
(100 × 2.5) ÷ 2.5 =
250 ÷ 2.5 =
100
2.5% of 100 = 2.5
Proof of the calculations:
How do we check the result?
We carry out the reverse operation:
If 2.5% × 100 = 2.5 =>
Divide the number 2.5 by the number 100...
... And see if we get as a result: 2.5%
A quick note:
100/100 = 100 ÷ 100 = 1
Multiply a number by the fraction 100/100, ... and its value doesn't change.
We only change the form of the result, not the result itself.
Calculate the percentage value: See if we get the percentage of 2.5%
2.5 ÷ 100 =
0.025 =
0.025 × 100/100 =
(0.025 × 100)/100 =
2.5/100 =
2.5%
So, we have proven that the calculations were correct. The answer:
Percentage of 2.5% of what number = 2.5? 2.5% × ? = 2.5
2.5% of 100 = 2.5
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.
Percentage of what number equals the other given value?
Calculated percentage of which number is equal to the given value?
p% of what missing number = the given number N?
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.