Based on the given conditions, formulate:
21.12\div 25.6\%
Convert decimal to fraction:
\dfrac{2112}{100} \div \dfrac{256}{10}\%
Cross out the common factor:
\dfrac{528}{25} \div \dfrac{256}{10}\%
Cross out the common factor:
\dfrac{528}{25} \div \dfrac{128}{5}\%
Convert the percentage to decimals:
\dfrac{528}{25} \div 0.256
Convert decimal to fraction:
\dfrac{528}{25} \div \dfrac{256}{1000}
Divide a fraction by multiplying its reciprocal:
\dfrac{528}{25} \times \dfrac{1000}{256}
Cross out the common factor:
528 \times \dfrac{40}{256}
Cross out the common factor:
33 \times \dfrac{40}{16}
Cross out the common factor:
33 \times \dfrac{5}{2}
Write as a single fraction:
\dfrac{33 \times 5}{2}
Calculate the product or quotient:
\dfrac{165}{2}
Answer:
\dfrac{165}{2}
a
Based on the given conditions, formulate:
21.12\div25.6\%
Convert the percentage to decimals:
21.12 \div 0.256
Calculate the product or quotient:
82.5
Answer:
82.5
b
Based on the given conditions, formulate:
27 / 18.75
Multiply both the numerator and denominator with the same integer:
\dfrac{2700}{1875}
Cross out the common factor:
\dfrac{36}{25}
Multiply a number to both the numerator and the denominator:
\dfrac{36}{25} \times \dfrac{4}{4}
Write as a single fraction:
\dfrac{36 \times 4}{25 \times 4}
Calculate the product or quotient:
\dfrac{144}{100}
Rewrite a fraction with denominator equals 100 to a percentage:
144\%
Answer:
144\%
If it's not what You are looking for type in the calculator fields your own values, and You will get the solution.
To get the solution, we are looking for, we need to point out what we know.
1. We assume, that the number 21.12 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 21.12 is 100%, so we can write it down as 21.12=100%.
4. We know, that x is 25.6% of the output value, so we can write it
down as x=25.6%.
5. Now we have two simple equations:
1) 21.12=100%
2) x=25.6%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
21.12/x=100%/25.6%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 25.6% of 21.12
21.12/x=100/25.6
(21.12/x)*x=(100/25.6)*x - we multiply both sides of the
equation by x
21.12=3.90625*x - we divide both sides of the equation by (3.90625) to get x
21.12/3.90625=x
5.40672=x
x=5.40672
now we have:
25.6% of 21.12=5.40672
If it's not what You are looking for type in the calculator fields your own values, and You will get the solution.
To get the solution, we are looking for, we need to point out what we know.
1. We assume, that the number 25.6 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 25.6, so we can write it down as 100%=25.6.
4. We know, that x% equals 21.12 of the output value, so we can write
it down as x%=21.12.
5. Now we have two simple equations:
1) 100%=25.6
2) x%=21.12
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=25.6/21.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for 21.12 is what percent of 25.6
100%/x%=25.6/21.12
(100/x)*x=(25.6/21.12)*x - we multiply both
sides of the equation by x
100=1.21212121212*x - we divide both sides of the equation by (1.21212121212) to get x
100/1.21212121212=x
82.5=x
x=82.5
now we have:
21.12 is 82.5% of 25.6
Solution for 25.6 is what percent of 21.12:
25.6:21.12*100 =
(25.6*100):21.12 =
2560:21.12 = 121.21212121212
Now we have: 25.6 is what percent of 21.12 = 121.21212121212
Question: 25.6 is what percent of 21.12?
Percentage solution with steps:
Step 1: We make the assumption that 21.12 is 100% since it is our output value.
Step 2: We next represent the value we seek with {x}.
Step 3: From step 1, it follows that {100\%}={21.12}.
Step 4: In the same vein, {x\%}={25.6}.
Step 5: This gives us a pair of simple equations:
{100\%}={21.12}(1).
{x\%}={25.6}(2).
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
\frac{100\%}{x\%}=\frac{21.12}{25.6}
Step 7: Taking the inverse (or reciprocal) of both sides yields
\frac{x\%}{100\%}=\frac{25.6}{21.12}
\Rightarrow{x} = {121.21212121212\%}
Therefore, {25.6} is {121.21212121212\%} of {21.12}.