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Solution for 424 is what percent of 400:

424:400*100 =

(424*100):400 =

42400:400 = 106

Now we have: 424 is what percent of 400 = 106

Question: 424 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\%}={424}.

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

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

{x\%}={424}(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}{424}

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

\frac{x\%}{100\%}=\frac{424}{400}

\Rightarrow{x} = {106\%}

Therefore, {424} is {106\%} of {400}.

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Solution for 400 is what percent of 424:

400:424*100 =

(400*100):424 =

40000:424 = 94.34

Now we have: 400 is what percent of 424 = 94.34

Question: 400 is what percent of 424?

Percentage solution with steps:

Step 1: We make the assumption that 424 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\%}={424}.

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

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

{100\%}={424}(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{424}{400}

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

\frac{x\%}{100\%}=\frac{400}{424}

\Rightarrow{x} = {94.34\%}

Therefore, {400} is {94.34\%} of {424}.