#### Solution for 4500 is what percent of 6700:

4500:6700*100 =

(4500*100):6700 =

450000:6700 = 67.16

Now we have: 4500 is what percent of 6700 = 67.16

Question: 4500 is what percent of 6700?

Percentage solution with steps:

Step 1: We make the assumption that 6700 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\%}={6700}.

Step 4: In the same vein, {x\%}={4500}.

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

{100\%}={6700}(1).

{x\%}={4500}(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{6700}{4500}

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

\frac{x\%}{100\%}=\frac{4500}{6700}

\Rightarrow{x} = {67.16\%}

Therefore, {4500} is {67.16\%} of {6700}.

#### Solution for 6700 is what percent of 4500:

6700:4500*100 =

(6700*100):4500 =

670000:4500 = 148.89

Now we have: 6700 is what percent of 4500 = 148.89

Question: 6700 is what percent of 4500?

Percentage solution with steps:

Step 1: We make the assumption that 4500 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\%}={4500}.

Step 4: In the same vein, {x\%}={6700}.

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

{100\%}={4500}(1).

{x\%}={6700}(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{4500}{6700}

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

\frac{x\%}{100\%}=\frac{6700}{4500}

\Rightarrow{x} = {148.89\%}

Therefore, {6700} is {148.89\%} of {4500}.

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