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Solution for 3278 is what percent of 42:

3278:42*100 =

(3278*100):42 =

327800:42 = 7804.76

Now we have: 3278 is what percent of 42 = 7804.76

Question: 3278 is what percent of 42?

Percentage solution with steps:

Step 1: We make the assumption that 42 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\%}={42}.

Step 4: In the same vein, {x\%}={3278}.

Step 5: This gives us a pair of simple equations:

{100\%}={42}(1).

{x\%}={3278}(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{42}{3278}

Step 7: Taking the inverse (or reciprocal) of both sides yields

\frac{x\%}{100\%}=\frac{3278}{42}

\Rightarrow{x} = {7804.76\%}

Therefore, {3278} is {7804.76\%} of {42}.

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• 3278 is what percent of 100 = 3278

Solution for 42 is what percent of 3278:

42:3278*100 =

(42*100):3278 =

4200:3278 = 1.28

Now we have: 42 is what percent of 3278 = 1.28

Question: 42 is what percent of 3278?

Percentage solution with steps:

Step 1: We make the assumption that 3278 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\%}={3278}.

Step 4: In the same vein, {x\%}={42}.

Step 5: This gives us a pair of simple equations:

{100\%}={3278}(1).

{x\%}={42}(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{3278}{42}

Step 7: Taking the inverse (or reciprocal) of both sides yields

\frac{x\%}{100\%}=\frac{42}{3278}

\Rightarrow{x} = {1.28\%}

Therefore, {42} is {1.28\%} of {3278}.