# Percentage Calculator

### 1.77 is what percent of 13?

#### Solution for 1.77 is what percent of 13:

1.77:13*100 =

(1.77*100):13 =

177:13 = 13.615384615385

**Now we have: 1.77 is what percent of 13 = 13.615384615385**

**Question: 1.77 is what percent of 13?**

Percentage solution with steps:

Step 1: We make the assumption that 13 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\%}={13}.

Step 4: In the same vein, {x\%}={1.77}.

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

{100\%}={13}(1).

{x\%}={1.77}(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{13}{1.77}

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

\frac{x\%}{100\%}=\frac{1.77}{13}

\Rightarrow{x} = {13.615384615385\%}

Therefore, {1.77} is {13.615384615385\%} of {13}.

#### Solution for 13 is what percent of 1.77:

13:1.77*100 =

(13*100):1.77 =

1300:1.77 = 734.46327683616

**Now we have: 13 is what percent of 1.77 = 734.46327683616**

**Question: 13 is what percent of 1.77?**

Percentage solution with steps:

Step 1: We make the assumption that 1.77 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\%}={1.77}.

Step 4: In the same vein, {x\%}={13}.

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

{100\%}={1.77}(1).

{x\%}={13}(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{1.77}{13}

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

\frac{x\%}{100\%}=\frac{13}{1.77}

\Rightarrow{x} = {734.46327683616\%}

Therefore, {13} is {734.46327683616\%} of {1.77}.

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