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Solution for 400 is what percent of 37:

400:37*100 =

(400*100):37 =

40000:37 = 1081.08

Now we have: 400 is what percent of 37 = 1081.08

Question: 400 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\%}={400}.

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

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

{x\%}={400}(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}{400}

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

\frac{x\%}{100\%}=\frac{400}{37}

\Rightarrow{x} = {1081.08\%}

Therefore, {400} is {1081.08\%} of {37}.

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Solution for 37 is what percent of 400:

37:400*100 =

(37*100):400 =

3700:400 = 9.25

Now we have: 37 is what percent of 400 = 9.25

Question: 37 is what percent of 400?

Percentage solution with steps:

Step 1: We make the assumption that 400 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\%}={400}.

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

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

{100\%}={400}(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{400}{37}

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

\frac{x\%}{100\%}=\frac{37}{400}

\Rightarrow{x} = {9.25\%}

Therefore, {37} is {9.25\%} of {400}.