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$13\%$ of $6242$ + $51\%$ of $632$ = $x\%$ of $2500$ . $\newline$ Find $x$ .

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Percents of numbers: fractional and decimal percents

Full solution

Q.

13\%

of

6242

+

51\%

of

632

=

x\%

of

2500

.

\newline

Find

x

.

Calculate $13$ % of $6242$ : Calculate $13\%$ of $6242$ . $\newline$ To find $13\%$ of $6242$ , we multiply $6242$ by $0.13$ . $\newline$ Calculation: $0.13 \times 6242 = 811.46$
Calculate $51$ % of $632$ : Calculate $51\%$ of $632$ . $\newline$ To find $51\%$ of $632$ , we multiply $632$ by $0.51$ . $\newline$ Calculation: $0.51 \times 632 = 322.32$
Add results from Step $1$ and Step $2$ : Add the results from Step $1$ and Step $2$ . $\newline$ We add $811.46$ and $322.32$ to find the total of the left side of the equation. $\newline$ Calculation: $811.46 + 322.32 = 1133.78$
Set up equation with total from Step $3$ : Set up the equation with the total from Step $3$ equal to $x\%$ of $2500$ . We have the equation $1133.78 = x\% \times 2500$ . To find $x\%$ , we need to divide $1133.78$ by $2500$ .
Calculate $x\%$ : Calculate $x\%$ . $\newline$ To find $x\%$ , we divide $1133.78$ by $2500$ and then multiply by $100$ to convert the decimal to a percentage. $\newline$ Calculation: $(1133.78 / 2500) * 100 = 45.3512$

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