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Solution for 42 is what percent of 60:

42:60*100 =

(42*100):60 =

4200:60 = 70

Now we have: 42 is what percent of 60 = 70

Question: 42 is what percent of 60?

Percentage solution with steps:

Step 1: We make the assumption that 60 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\%}={60}.

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

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

{100\%}={60}(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{60}{42}

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

\frac{x\%}{100\%}=\frac{42}{60}

\Rightarrow{x} = {70\%}

Therefore, {42} is {70\%} of {60}.

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• 42 is what percent of 26 = 161.54
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• 42 is what percent of 29 = 144.83
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Solution for 60 is what percent of 42:

60:42*100 =

(60*100):42 =

6000:42 = 142.86

Now we have: 60 is what percent of 42 = 142.86

Question: 60 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\%}={60}.

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

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

{x\%}={60}(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}{60}

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

\frac{x\%}{100\%}=\frac{60}{42}

\Rightarrow{x} = {142.86\%}

Therefore, {60} is {142.86\%} of {42}.