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Solution for 42 is what percent of 900:

42:900*100 =

(42*100):900 =

4200:900 = 4.67

Now we have: 42 is what percent of 900 = 4.67

Question: 42 is what percent of 900?

Percentage solution with steps:

Step 1: We make the assumption that 900 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\%}={900}.

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

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

{100\%}={900}(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{900}{42}

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

\frac{x\%}{100\%}=\frac{42}{900}

\Rightarrow{x} = {4.67\%}

Therefore, {42} is {4.67\%} of {900}.

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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 900 is what percent of 42:

900:42*100 =

(900*100):42 =

90000:42 = 2142.86

Now we have: 900 is what percent of 42 = 2142.86

Question: 900 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\%}={900}.

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

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

{x\%}={900}(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}{900}

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

\frac{x\%}{100\%}=\frac{900}{42}

\Rightarrow{x} = {2142.86\%}

Therefore, {900} is {2142.86\%} of {42}.