#### Solution for 295 is what percent of 450:

295:450*100 =

(295*100):450 =

29500:450 = 65.56

Now we have: 295 is what percent of 450 = 65.56

Question: 295 is what percent of 450?

Percentage solution with steps:

Step 1: We make the assumption that 450 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\%}={450}.

Step 4: In the same vein, {x\%}={295}.

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

{100\%}={450}(1).

{x\%}={295}(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{450}{295}

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

\frac{x\%}{100\%}=\frac{295}{450}

\Rightarrow{x} = {65.56\%}

Therefore, {295} is {65.56\%} of {450}.

#### Solution for 450 is what percent of 295:

450:295*100 =

(450*100):295 =

45000:295 = 152.54

Now we have: 450 is what percent of 295 = 152.54

Question: 450 is what percent of 295?

Percentage solution with steps:

Step 1: We make the assumption that 295 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\%}={295}.

Step 4: In the same vein, {x\%}={450}.

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

{100\%}={295}(1).

{x\%}={450}(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{295}{450}

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

\frac{x\%}{100\%}=\frac{450}{295}

\Rightarrow{x} = {152.54\%}

Therefore, {450} is {152.54\%} of {295}.

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