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Solution for 42 is what percent of 133:

42:133*100 =

(42*100):133 =

4200:133 = 31.58

Now we have: 42 is what percent of 133 = 31.58

Question: 42 is what percent of 133?

Percentage solution with steps:

Step 1: We make the assumption that 133 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\%}={133}.

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

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

{100\%}={133}(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{133}{42}

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

\frac{x\%}{100\%}=\frac{42}{133}

\Rightarrow{x} = {31.58\%}

Therefore, {42} is {31.58\%} of {133}.

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Solution for 133 is what percent of 42:

133:42*100 =

(133*100):42 =

13300:42 = 316.67

Now we have: 133 is what percent of 42 = 316.67

Question: 133 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\%}={133}.

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

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

{x\%}={133}(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}{133}

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

\frac{x\%}{100\%}=\frac{133}{42}

\Rightarrow{x} = {316.67\%}

Therefore, {133} is {316.67\%} of {42}.