#### Solution for 400 is what percent of 3780:

400:3780*100 =

(400*100):3780 =

40000:3780 = 10.58

Now we have: 400 is what percent of 3780 = 10.58

Question: 400 is what percent of 3780?

Percentage solution with steps:

Step 1: We make the assumption that 3780 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\%}={3780}.

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

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

{100\%}={3780}(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{3780}{400}

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

\frac{x\%}{100\%}=\frac{400}{3780}

\Rightarrow{x} = {10.58\%}

Therefore, {400} is {10.58\%} of {3780}.

#### Solution for 3780 is what percent of 400:

3780:400*100 =

(3780*100):400 =

378000:400 = 945

Now we have: 3780 is what percent of 400 = 945

Question: 3780 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\%}={3780}.

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

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

{x\%}={3780}(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}{3780}

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

\frac{x\%}{100\%}=\frac{3780}{400}

\Rightarrow{x} = {945\%}

Therefore, {3780} is {945\%} of {400}.

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