Solution for 3 is what percent of 102:
3:102*100 =
(3*100):102 =
300:102 = 2.94
Now we have: 3 is what percent of 102 = 2.94
Question: 3 is what percent of 102?
Percentage solution with steps:
Step 1: We make the assumption that 102 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\%}={102}.
Step 4: In the same vein, {x\%}={3}.
Step 5: This gives us a pair of simple equations:
{100\%}={102}(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{102}{3}
Step 7: Taking the inverse (or reciprocal) of both sides yields
\frac{x\%}{100\%}=\frac{3}{102}
\Rightarrow{x} = {2.94\%}
Therefore, {3} is {2.94\%} of {102}.
Solution for 102 is what percent of 3:
102:3*100 =
(102*100):3 =
10200:3 = 3400
Now we have: 102 is what percent of 3 = 3400
Question: 102 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\%}={102}.
Step 5: This gives us a pair of simple equations:
{100\%}={3}(1).
{x\%}={102}(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}{102}
Step 7: Taking the inverse (or reciprocal) of both sides yields
\frac{x\%}{100\%}=\frac{102}{3}
\Rightarrow{x} = {3400\%}
Therefore, {102} is {3400\%} of {3}.
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