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Solution for 42 is what percent of 170:

42:170*100 =

(42*100):170 =

4200:170 = 24.71

Now we have: 42 is what percent of 170 = 24.71

Question: 42 is what percent of 170?

Percentage solution with steps:

Step 1: We make the assumption that 170 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\%}={170}.

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

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

{100\%}={170}(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{170}{42}

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

\frac{x\%}{100\%}=\frac{42}{170}

\Rightarrow{x} = {24.71\%}

Therefore, {42} is {24.71\%} of {170}.

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• 42 is what percent of 29 = 144.83
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• 42 is what percent of 31 = 135.48
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Solution for 170 is what percent of 42:

170:42*100 =

(170*100):42 =

17000:42 = 404.76

Now we have: 170 is what percent of 42 = 404.76

Question: 170 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\%}={170}.

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

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

{x\%}={170}(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}{170}

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

\frac{x\%}{100\%}=\frac{170}{42}

\Rightarrow{x} = {404.76\%}

Therefore, {170} is {404.76\%} of {42}.