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Solution for 63 is what percent of 42:

63:42*100 =

(63*100):42 =

6300:42 = 150

Now we have: 63 is what percent of 42 = 150

Question: 63 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\%}={63}.

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

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

{x\%}={63}(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}{63}

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

\frac{x\%}{100\%}=\frac{63}{42}

\Rightarrow{x} = {150\%}

Therefore, {63} is {150\%} of {42}.

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Solution for 42 is what percent of 63:

42:63*100 =

(42*100):63 =

4200:63 = 66.67

Now we have: 42 is what percent of 63 = 66.67

Question: 42 is what percent of 63?

Percentage solution with steps:

Step 1: We make the assumption that 63 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\%}={63}.

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

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

{100\%}={63}(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{63}{42}

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

\frac{x\%}{100\%}=\frac{42}{63}

\Rightarrow{x} = {66.67\%}

Therefore, {42} is {66.67\%} of {63}.