Solution for 3 is what percent of 1200:
3:1200*100 =
(3*100):1200 =
300:1200 = 0.25
Now we have: 3 is what percent of 1200 = 0.25
Question: 3 is what percent of 1200?
Percentage solution with steps:
Step 1: We make the assumption that 1200 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\%}={1200}.
Step 4: In the same vein, {x\%}={3}.
Step 5: This gives us a pair of simple equations:
{100\%}={1200}(1).
{x\%}={3}(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{1200}{3}
Step 7: Taking the inverse (or reciprocal) of both sides yields
\frac{x\%}{100\%}=\frac{3}{1200}
\Rightarrow{x} = {0.25\%}
Therefore, {3} is {0.25\%} of {1200}.
Solution for 1200 is what percent of 3:
1200:3*100 =
(1200*100):3 =
120000:3 = 40000
Now we have: 1200 is what percent of 3 = 40000
Question: 1200 is what percent of 3?
Percentage solution with steps:
Step 1: We make the assumption that 3 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\%}={3}.
Step 4: In the same vein, {x\%}={1200}.
Step 5: This gives us a pair of simple equations:
{100\%}={3}(1).
{x\%}={1200}(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{3}{1200}
Step 7: Taking the inverse (or reciprocal) of both sides yields
\frac{x\%}{100\%}=\frac{1200}{3}
\Rightarrow{x} = {40000\%}
Therefore, {1200} is {40000\%} of {3}.
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