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Solution for 635 is what percent of 42:

635:42*100 =

(635*100):42 =

63500:42 = 1511.9

Now we have: 635 is what percent of 42 = 1511.9

Question: 635 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\%}={635}.

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

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

{x\%}={635}(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}{635}

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

\frac{x\%}{100\%}=\frac{635}{42}

\Rightarrow{x} = {1511.9\%}

Therefore, {635} is {1511.9\%} of {42}.

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• 635 is what percent of 100 = 635

Solution for 42 is what percent of 635:

42:635*100 =

(42*100):635 =

4200:635 = 6.61

Now we have: 42 is what percent of 635 = 6.61

Question: 42 is what percent of 635?

Percentage solution with steps:

Step 1: We make the assumption that 635 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\%}={635}.

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

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

{100\%}={635}(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{635}{42}

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

\frac{x\%}{100\%}=\frac{42}{635}

\Rightarrow{x} = {6.61\%}

Therefore, {42} is {6.61\%} of {635}.