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Solution for 90 is what percent of 40:

90:40*100 =

(90*100):40 =

9000:40 = 225

Now we have: 90 is what percent of 40 = 225

Question: 90 is what percent of 40?

Percentage solution with steps:

Step 1: We make the assumption that 40 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\%}={40}.

Step 4: In the same vein, {x\%}={90}.

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

{100\%}={40}(1).

{x\%}={90}(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{40}{90}

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

\frac{x\%}{100\%}=\frac{90}{40}

\Rightarrow{x} = {225\%}

Therefore, {90} is {225\%} of {40}.

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• 90 is what percent of 27 = 333.33
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• 90 is what percent of 30 = 300
• 90 is what percent of 31 = 290.32
• 90 is what percent of 32 = 281.25
• 90 is what percent of 33 = 272.73
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Solution for 40 is what percent of 90:

40:90*100 =

(40*100):90 =

4000:90 = 44.44

Now we have: 40 is what percent of 90 = 44.44

Question: 40 is what percent of 90?

Percentage solution with steps:

Step 1: We make the assumption that 90 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\%}={90}.

Step 4: In the same vein, {x\%}={40}.

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

{100\%}={90}(1).

{x\%}={40}(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{90}{40}

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

\frac{x\%}{100\%}=\frac{40}{90}

\Rightarrow{x} = {44.44\%}

Therefore, {40} is {44.44\%} of {90}.