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Solution for 4900 is what percent of 42:

4900:42*100 =

(4900*100):42 =

490000:42 = 11666.67

Now we have: 4900 is what percent of 42 = 11666.67

Question: 4900 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\%}={4900}.

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

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

{x\%}={4900}(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}{4900}

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

\frac{x\%}{100\%}=\frac{4900}{42}

\Rightarrow{x} = {11666.67\%}

Therefore, {4900} is {11666.67\%} of {42}.

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• 4900 is what percent of 100 = 4900

Solution for 42 is what percent of 4900:

42:4900*100 =

(42*100):4900 =

4200:4900 = 0.86

Now we have: 42 is what percent of 4900 = 0.86

Question: 42 is what percent of 4900?

Percentage solution with steps:

Step 1: We make the assumption that 4900 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\%}={4900}.

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

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

{100\%}={4900}(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{4900}{42}

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

\frac{x\%}{100\%}=\frac{42}{4900}

\Rightarrow{x} = {0.86\%}

Therefore, {42} is {0.86\%} of {4900}.