Wprowadzenie do procent\u00f3w<\/p>\n\n\n
Procent to spos\u00f3b wyra\u017cenia cz\u0119\u015bci ca\u0142o\u015bci jako u\u0142amka o mianowniku 100. Symbol procenta to %. Jeden procent oznacza jedn\u0105 setn\u0105 cz\u0119\u015b\u0107 ca\u0142o\u015bci, czyli: \\(1\\% = \\frac{1}{100} = 0,01\\)<\/p>\n\r\n<\/div>\n\n\n
Typy zada\u0144 z procentami<\/p>\n\n\n\n
W matematyce wyr\u00f3\u017cniamy trzy g\u0142\u00f3wne rodzaje zada\u0144 zwi\u0105zanych z procentami:<\/p>\n\n\n
Aby obliczy\u0107 procent danej liczby, nale\u017cy pomno\u017cy\u0107 t\u0119 liczb\u0119 przez procent wyra\u017cony w postaci u\u0142amka dziesi\u0119tnego.
\n\\(p\\)% z liczby \\(a\\) to \\(\\frac{p}{100} \\cdot a\\)<\/p>\n\r\n<\/div>\n\n
15% liczby 200 to 30, poniewa\u017c \\(0,15 \\cdot 200 = 30\\)<\/p>\n\r\n<\/div>\n\n
Aby obliczy\u0107, jakim procentem jednej liczby jest druga liczba, nale\u017cy podzieli\u0107 drug\u0105 liczb\u0119 przez pierwsz\u0105, a nast\u0119pnie wynik pomno\u017cy\u0107 przez 100%.
\n\\(\\frac{b}{a} \\cdot 100\\% \\) to procent jaki stanowi liczba \\(b\\) z liczby \\(a\\)<\/p>\n\r\n<\/div>\n\n
8 stanowi 10% liczby 40, poniewa\u017c \\(\\frac{8}{40} = 0,2 = 20\\%\\)<\/p>\n\r\n<\/div>\n\n
Aby wyznaczy\u0107 liczb\u0119, gdy dany jest jej procent, nale\u017cy podzieli\u0107 warto\u015b\u0107 procentow\u0105 przez procent wyra\u017cony w postaci u\u0142amka dziesi\u0119tnego.
\nJe\u015bli \\(p\\)% liczby wynosi \\(b\\), to ta liczba jest r\u00f3wna \\(\\frac{b}{\\frac{p}{100}} = \\frac{b}{0,p}\\)<\/p>\n\r\n<\/div>\n\n
Je\u015bli 20% szukanej liczby wynosi 5, to liczba ta jest r\u00f3wna \\(\\frac{5}{0,20} = 25\\)<\/p>\n\r\n<\/div>","protected":false},"excerpt":{"rendered":"
Wprowadzenie do procent\u00f3w Typy zada\u0144 z procentami W matematyce wyr\u00f3\u017cniamy trzy g\u0142\u00f3wne rodzaje zada\u0144 zwi\u0105zanych z procentami:<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[106],"tags":[],"class_list":["post-142","post","type-post","status-publish","format-standard","hentry","category-matematyka"],"_links":{"self":[{"href":"https:\/\/kierunekmatura.pl\/blog\/wp-json\/wp\/v2\/posts\/142","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/kierunekmatura.pl\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/kierunekmatura.pl\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/kierunekmatura.pl\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/kierunekmatura.pl\/blog\/wp-json\/wp\/v2\/comments?post=142"}],"version-history":[{"count":3,"href":"https:\/\/kierunekmatura.pl\/blog\/wp-json\/wp\/v2\/posts\/142\/revisions"}],"predecessor-version":[{"id":543,"href":"https:\/\/kierunekmatura.pl\/blog\/wp-json\/wp\/v2\/posts\/142\/revisions\/543"}],"wp:attachment":[{"href":"https:\/\/kierunekmatura.pl\/blog\/wp-json\/wp\/v2\/media?parent=142"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/kierunekmatura.pl\/blog\/wp-json\/wp\/v2\/categories?post=142"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/kierunekmatura.pl\/blog\/wp-json\/wp\/v2\/tags?post=142"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}