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Solution for 418 is what percent of 42:

418:42*100 =

(418*100):42 =

41800:42 = 995.24

Now we have: 418 is what percent of 42 = 995.24

Question: 418 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\%}={418}.

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

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

{x\%}={418}(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}{418}

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

\frac{x\%}{100\%}=\frac{418}{42}

\Rightarrow{x} = {995.24\%}

Therefore, {418} is {995.24\%} of {42}.

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Solution for 42 is what percent of 418:

42:418*100 =

(42*100):418 =

4200:418 = 10.05

Now we have: 42 is what percent of 418 = 10.05

Question: 42 is what percent of 418?

Percentage solution with steps:

Step 1: We make the assumption that 418 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\%}={418}.

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

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

{100\%}={418}(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{418}{42}

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

\frac{x\%}{100\%}=\frac{42}{418}

\Rightarrow{x} = {10.05\%}

Therefore, {42} is {10.05\%} of {418}.