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Solution for 400 is what percent of 1775:

400:1775*100 =

(400*100):1775 =

40000:1775 = 22.54

Now we have: 400 is what percent of 1775 = 22.54

Question: 400 is what percent of 1775?

Percentage solution with steps:

Step 1: We make the assumption that 1775 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\%}={1775}.

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

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

{100\%}={1775}(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{1775}{400}

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

\frac{x\%}{100\%}=\frac{400}{1775}

\Rightarrow{x} = {22.54\%}

Therefore, {400} is {22.54\%} of {1775}.

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Solution for 1775 is what percent of 400:

1775:400*100 =

(1775*100):400 =

177500:400 = 443.75

Now we have: 1775 is what percent of 400 = 443.75

Question: 1775 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\%}={1775}.

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

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

{x\%}={1775}(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}{1775}

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

\frac{x\%}{100\%}=\frac{1775}{400}

\Rightarrow{x} = {443.75\%}

Therefore, {1775} is {443.75\%} of {400}.