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Solution for 10400 is what percent of 42:

10400:42*100 =

(10400*100):42 =

1040000:42 = 24761.9

Now we have: 10400 is what percent of 42 = 24761.9

Question: 10400 is what percent of 42?

Percentage solution with steps:

Step 1: We make the assumption that 42 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\%}={42}.

Step 4: In the same vein, {x\%}={10400}.

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

{100\%}={42}(1).

{x\%}={10400}(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{42}{10400}

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

\frac{x\%}{100\%}=\frac{10400}{42}

\Rightarrow{x} = {24761.9\%}

Therefore, {10400} is {24761.9\%} of {42}.

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Solution for 42 is what percent of 10400:

42:10400*100 =

(42*100):10400 =

4200:10400 = 0.4

Now we have: 42 is what percent of 10400 = 0.4

Question: 42 is what percent of 10400?

Percentage solution with steps:

Step 1: We make the assumption that 10400 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\%}={10400}.

Step 4: In the same vein, {x\%}={42}.

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

{100\%}={10400}(1).

{x\%}={42}(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{10400}{42}

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

\frac{x\%}{100\%}=\frac{42}{10400}

\Rightarrow{x} = {0.4\%}

Therefore, {42} is {0.4\%} of {10400}.