#### Solution for 377 is what percent of 400:

377:400*100 =

(377*100):400 =

37700:400 = 94.25

Now we have: 377 is what percent of 400 = 94.25

Question: 377 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\%}={377}.

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

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

{x\%}={377}(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}{377}

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

\frac{x\%}{100\%}=\frac{377}{400}

\Rightarrow{x} = {94.25\%}

Therefore, {377} is {94.25\%} of {400}.

#### Solution for 400 is what percent of 377:

400:377*100 =

(400*100):377 =

40000:377 = 106.1

Now we have: 400 is what percent of 377 = 106.1

Question: 400 is what percent of 377?

Percentage solution with steps:

Step 1: We make the assumption that 377 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\%}={377}.

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

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

{100\%}={377}(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{377}{400}

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

\frac{x\%}{100\%}=\frac{400}{377}

\Rightarrow{x} = {106.1\%}

Therefore, {400} is {106.1\%} of {377}.

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