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Solution for 401.5 is what percent of 42:

401.5:42*100 =

(401.5*100):42 =

40150:42 = 955.95238095238

Now we have: 401.5 is what percent of 42 = 955.95238095238

Question: 401.5 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\%}={401.5}.

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

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

{x\%}={401.5}(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}{401.5}

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

\frac{x\%}{100\%}=\frac{401.5}{42}

\Rightarrow{x} = {955.95238095238\%}

Therefore, {401.5} is {955.95238095238\%} of {42}.

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• 401.5 is what percent of 100 = 401.5

Solution for 42 is what percent of 401.5:

42:401.5*100 =

(42*100):401.5 =

4200:401.5 = 10.460772104608

Now we have: 42 is what percent of 401.5 = 10.460772104608

Question: 42 is what percent of 401.5?

Percentage solution with steps:

Step 1: We make the assumption that 401.5 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\%}={401.5}.

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

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

{100\%}={401.5}(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{401.5}{42}

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

\frac{x\%}{100\%}=\frac{42}{401.5}

\Rightarrow{x} = {10.460772104608\%}

Therefore, {42} is {10.460772104608\%} of {401.5}.