What Is 85 Of 200

Solution for 85 is what percent of 200:

85:200*100 =

(85*100):200 =

You are viewing: What Is 85 Of 200

8500:200 = 42.5

Now we have: 85 is what percent of 200 = 42.5

Question: 85 is what percent of 200?

Percentage solution with steps:

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Step 1: We make the assumption that 200 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%}={200}.

Step 4: In the same vein, {x%}={85}.

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

{100%}={200}(1).

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{x%}={85}(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{200}{85}

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

frac{x%}{100%}=frac{85}{200}

Rightarrow{x} = {42.5%}

Therefore, {85} is {42.5%} of {200}.

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