Solution for 10 is what percent of 25:
10: 25*100 =
( 10*100): 25 =
1000: 25 = 40
Now we have: 10 is what percent of 25 = 40
Question: 10 is what percent of 25?
Percentage solution with steps:
Step 1: We make the assumption that 25 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\%}={ 25}.
Step 4: In the same vein, {x\%}={ 10}.
Step 5: This gives us a pair of simple equations:
{100\%}={ 25}(1).
{x\%}={ 10}(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{ 25}{ 10}
Step 7: Taking the inverse (or reciprocal) of both sides yields
\frac{x\%}{100\%}=\frac{ 10}{ 25}
\Rightarrow{x} = {40\%}
Therefore, { 10} is {40\%} of { 25}.
Solution for 25 is what percent of 10:
25: 10*100 =
( 25*100): 10 =
2500: 10 = 250
Now we have: 25 is what percent of 10 = 250
Question: 25 is what percent of 10?
Percentage solution with steps:
Step 1: We make the assumption that 10 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\%}={ 10}.
Step 4: In the same vein, {x\%}={ 25}.
Step 5: This gives us a pair of simple equations:
{100\%}={ 10}(1).
{x\%}={ 25}(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{ 10}{ 25}
Step 7: Taking the inverse (or reciprocal) of both sides yields
\frac{x\%}{100\%}=\frac{ 25}{ 10}
\Rightarrow{x} = {250\%}
Therefore, { 25} is {250\%} of { 10}.
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