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Solution for 6400 is what percent of 42:

6400:42*100 =

(6400*100):42 =

640000:42 = 15238.1

Now we have: 6400 is what percent of 42 = 15238.1

Question: 6400 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\%}={6400}.

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

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

{x\%}={6400}(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}{6400}

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

\frac{x\%}{100\%}=\frac{6400}{42}

\Rightarrow{x} = {15238.1\%}

Therefore, {6400} is {15238.1\%} of {42}.

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Solution for 42 is what percent of 6400:

42:6400*100 =

(42*100):6400 =

4200:6400 = 0.66

Now we have: 42 is what percent of 6400 = 0.66

Question: 42 is what percent of 6400?

Percentage solution with steps:

Step 1: We make the assumption that 6400 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\%}={6400}.

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

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

{100\%}={6400}(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{6400}{42}

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

\frac{x\%}{100\%}=\frac{42}{6400}

\Rightarrow{x} = {0.66\%}

Therefore, {42} is {0.66\%} of {6400}.