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Solution for 8200 is what percent of 42:

8200:42*100 =

(8200*100):42 =

820000:42 = 19523.81

Now we have: 8200 is what percent of 42 = 19523.81

Question: 8200 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\%}={8200}.

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

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

{x\%}={8200}(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}{8200}

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

\frac{x\%}{100\%}=\frac{8200}{42}

\Rightarrow{x} = {19523.81\%}

Therefore, {8200} is {19523.81\%} of {42}.

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Solution for 42 is what percent of 8200:

42:8200*100 =

(42*100):8200 =

4200:8200 = 0.51

Now we have: 42 is what percent of 8200 = 0.51

Question: 42 is what percent of 8200?

Percentage solution with steps:

Step 1: We make the assumption that 8200 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\%}={8200}.

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

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

{100\%}={8200}(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{8200}{42}

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

\frac{x\%}{100\%}=\frac{42}{8200}

\Rightarrow{x} = {0.51\%}

Therefore, {42} is {0.51\%} of {8200}.