Hook componentdidmount doesn't rerender component. What could be an issue

I have simple component, which takes two props: title and percent. I want dynamically show percent from 0 to whatever number is passed to component. What it does on me is increases from 0 to 1 and that is it and stop on there. Looks like it renders component, gets into componentDidMount, increases to by 1 and then doesn't rerender component even tho setState is fired. What could be an issue?

import React from "react";
import PropTypes from "prop-types";

class ItemList extends React.Component {
    constructor(props) {
        super(props);
        this.state = {
            percent: 0
        }
    }

    componentDidMount() {
        if (this.state.percent <= this.props.number)
            setTimeout(() => {
                this.setState({
                    percent: this.state.percent + 1
                })
            }, 200)
    }

    render() {
        return (
            <li className="skills__programmer__content__item">
                <div className="skills__programmer__content__item__name">{this.props.title}</div>
                <div className="skills__programmer__content__item__percent">{ this.state.percent + "%"} </div>
            </li>
        )
    }
}

ItemList.propTypes = {
    title: PropTypes.string,
    number: PropTypes.number,
}

export default ItemList;