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Solution for 418 is what percent of 37:

418:37*100 =

(418*100):37 =

41800:37 = 1129.73

Now we have: 418 is what percent of 37 = 1129.73

Question: 418 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\%}={418}.

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

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

{x\%}={418}(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}{418}

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

\frac{x\%}{100\%}=\frac{418}{37}

\Rightarrow{x} = {1129.73\%}

Therefore, {418} is {1129.73\%} of {37}.

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Solution for 37 is what percent of 418:

37:418*100 =

(37*100):418 =

3700:418 = 8.85

Now we have: 37 is what percent of 418 = 8.85

Question: 37 is what percent of 418?

Percentage solution with steps:

Step 1: We make the assumption that 418 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\%}={418}.

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

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

{100\%}={418}(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{418}{37}

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

\frac{x\%}{100\%}=\frac{37}{418}

\Rightarrow{x} = {8.85\%}

Therefore, {37} is {8.85\%} of {418}.