#### Solution for 500 is what percent of 895:

500:895*100 =

(500*100):895 =

50000:895 = 55.87

Now we have: 500 is what percent of 895 = 55.87

Question: 500 is what percent of 895?

Percentage solution with steps:

Step 1: We make the assumption that 895 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\%}={895}.

Step 4: In the same vein, {x\%}={500}.

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

{100\%}={895}(1).

{x\%}={500}(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{895}{500}

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

\frac{x\%}{100\%}=\frac{500}{895}

\Rightarrow{x} = {55.87\%}

Therefore, {500} is {55.87\%} of {895}.

#### Solution for 895 is what percent of 500:

895:500*100 =

(895*100):500 =

89500:500 = 179

Now we have: 895 is what percent of 500 = 179

Question: 895 is what percent of 500?

Percentage solution with steps:

Step 1: We make the assumption that 500 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\%}={500}.

Step 4: In the same vein, {x\%}={895}.

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

{100\%}={500}(1).

{x\%}={895}(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{500}{895}

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

\frac{x\%}{100\%}=\frac{895}{500}

\Rightarrow{x} = {179\%}

Therefore, {895} is {179\%} of {500}.

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