#### Solution for 4.5 is what percent of 37:

4.5:37*100 =

(4.5*100):37 =

450:37 = 12.162162162162

Now we have: 4.5 is what percent of 37 = 12.162162162162

Question: 4.5 is what percent of 37?

Percentage solution with steps:

Step 1: We make the assumption that 37 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\%}={37}.

Step 4: In the same vein, {x\%}={4.5}.

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

{100\%}={37}(1).

{x\%}={4.5}(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{37}{4.5}

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

\frac{x\%}{100\%}=\frac{4.5}{37}

\Rightarrow{x} = {12.162162162162\%}

Therefore, {4.5} is {12.162162162162\%} of {37}.

#### Solution for 37 is what percent of 4.5:

37:4.5*100 =

(37*100):4.5 =

3700:4.5 = 822.22222222222

Now we have: 37 is what percent of 4.5 = 822.22222222222

Question: 37 is what percent of 4.5?

Percentage solution with steps:

Step 1: We make the assumption that 4.5 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\%}={4.5}.

Step 4: In the same vein, {x\%}={37}.

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

{100\%}={4.5}(1).

{x\%}={37}(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{4.5}{37}

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

\frac{x\%}{100\%}=\frac{37}{4.5}

\Rightarrow{x} = {822.22222222222\%}

Therefore, {37} is {822.22222222222\%} of {4.5}.

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