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Solution for 36 is what percent of 400.:

36:400.*100 =

(36*100):400. =

3600:400. = 9

Now we have: 36 is what percent of 400. = 9

Question: 36 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\%}={36}.

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

{100\%}={400.}(1).

{x\%}={36}(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.}{36}

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

\frac{x\%}{100\%}=\frac{36}{400.}

\Rightarrow{x} = {9\%}

Therefore, {36} is {9\%} of {400.}.

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Solution for 400. is what percent of 36:

400.:36*100 =

(400.*100):36 =

40000:36 = 1111.1111111111

Now we have: 400. is what percent of 36 = 1111.1111111111

Question: 400. is what percent of 36?

Percentage solution with steps:

Step 1: We make the assumption that 36 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\%}={36}.

Step 4: In the same vein, {x\%}={400.}.

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

{100\%}={36}(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{36}{400.}

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

\frac{x\%}{100\%}=\frac{400.}{36}

\Rightarrow{x} = {1111.1111111111\%}

Therefore, {400.} is {1111.1111111111\%} of {36}.