#### Solution for 174 is what percent of 3002:

174:3002*100 =

(174*100):3002 =

17400:3002 = 5.8

Now we have: 174 is what percent of 3002 = 5.8

Question: 174 is what percent of 3002?

Percentage solution with steps:

Step 1: We make the assumption that 3002 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\%}={3002}.

Step 4: In the same vein, {x\%}={174}.

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

{100\%}={3002}(1).

{x\%}={174}(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{3002}{174}

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

\frac{x\%}{100\%}=\frac{174}{3002}

\Rightarrow{x} = {5.8\%}

Therefore, {174} is {5.8\%} of {3002}.

#### Solution for 3002 is what percent of 174:

3002:174*100 =

(3002*100):174 =

300200:174 = 1725.29

Now we have: 3002 is what percent of 174 = 1725.29

Question: 3002 is what percent of 174?

Percentage solution with steps:

Step 1: We make the assumption that 174 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\%}={174}.

Step 4: In the same vein, {x\%}={3002}.

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

{100\%}={174}(1).

{x\%}={3002}(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{174}{3002}

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

\frac{x\%}{100\%}=\frac{3002}{174}

\Rightarrow{x} = {1725.29\%}

Therefore, {3002} is {1725.29\%} of {174}.

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