# Percentage Calculator

### 100 is what percent of 1991?

#### Solution for 100 is what percent of 1991:

100:1991*100 =

(100*100):1991 =

10000:1991 = 5.02

**Now we have: 100 is what percent of 1991 = 5.02**

**Question: 100 is what percent of 1991?**

Percentage solution with steps:

Step 1: We make the assumption that 1991 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\%}={1991}.

Step 4: In the same vein, {x\%}={100}.

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

{100\%}={1991}(1).

{x\%}={100}(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{1991}{100}

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

\frac{x\%}{100\%}=\frac{100}{1991}

\Rightarrow{x} = {5.02\%}

Therefore, {100} is {5.02\%} of {1991}.

#### Solution for 1991 is what percent of 100:

1991:100*100 =

(1991*100):100 =

199100:100 = 1991

**Now we have: 1991 is what percent of 100 = 1991**

**Question: 1991 is what percent of 100?**

Percentage solution with steps:

Step 1: We make the assumption that 100 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\%}={100}.

Step 4: In the same vein, {x\%}={1991}.

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

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

{x\%}={1991}(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{100}{1991}

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

\frac{x\%}{100\%}=\frac{1991}{100}

\Rightarrow{x} = {1991\%}

Therefore, {1991} is {1991\%} of {100}.

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