To solve the given expression, we need to perform the operations step by step. The expression is:

\[ 87\% - \frac{13}{50} - \frac{37}{100} + 0.46 \]

First, convert 87% to a decimal:
\[ 87\% = 0.87 \]

Next, convert the fractions to decimals:
\[ \frac{13}{50} = 0.26 \]
\[ \frac{37}{100} = 0.37 \]

Now, substitute these values into the expression:
\[ 0.87 - 0.26 - 0.37 + 0.46 \]

Perform the subtraction and addition step by step:
\[ 0.87 - 0.26 = 0.61 \]
\[ 0.61 - 0.37 = 0.24 \]
\[ 0.24 + 0.46 = 0.70 \]

So, the final result is:
\[ 0.70 \]