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Solution for 4000 is what percent of 42:

4000:42*100 =

(4000*100):42 =

400000:42 = 9523.81

Now we have: 4000 is what percent of 42 = 9523.81

Question: 4000 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\%}={4000}.

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

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

{x\%}={4000}(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}{4000}

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

\frac{x\%}{100\%}=\frac{4000}{42}

\Rightarrow{x} = {9523.81\%}

Therefore, {4000} is {9523.81\%} of {42}.

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Solution for 42 is what percent of 4000:

42:4000*100 =

(42*100):4000 =

4200:4000 = 1.05

Now we have: 42 is what percent of 4000 = 1.05

Question: 42 is what percent of 4000?

Percentage solution with steps:

Step 1: We make the assumption that 4000 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\%}={4000}.

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

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

{100\%}={4000}(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{4000}{42}

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

\frac{x\%}{100\%}=\frac{42}{4000}

\Rightarrow{x} = {1.05\%}

Therefore, {42} is {1.05\%} of {4000}.