Solution for 5 is what percent of 200:
5:200*100 =
( 5*100):200 =
500:200 = 2.5
Now we have: 5 is what percent of 200 = 2.5
Question: 5 is what percent of 200?
Percentage solution with steps:
Step 1: We make the assumption that 200 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\%}={200}.
Step 4: In the same vein, {x\%}={ 5}.
Step 5: This gives us a pair of simple equations:
{100\%}={200}(1).
{x\%}={ 5}(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{200}{ 5}
Step 7: Taking the inverse (or reciprocal) of both sides yields
\frac{x\%}{100\%}=\frac{ 5}{200}
\Rightarrow{x} = {2.5\%}
Therefore, { 5} is {2.5\%} of {200}.
Solution for 200 is what percent of 5:
200: 5*100 =
(200*100): 5 =
20000: 5 = 4000
Now we have: 200 is what percent of 5 = 4000
Question: 200 is what percent of 5?
Percentage solution with steps:
Step 1: We make the assumption that 5 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\%}={ 5}.
Step 4: In the same vein, {x\%}={200}.
Step 5: This gives us a pair of simple equations:
{100\%}={ 5}(1).
{x\%}={200}(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{ 5}{200}
Step 7: Taking the inverse (or reciprocal) of both sides yields
\frac{x\%}{100\%}=\frac{200}{ 5}
\Rightarrow{x} = {4000\%}
Therefore, {200} is {4000\%} of { 5}.
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