Mathematics plays an important role in our daily life as we all use math on a daily basis either while buying any goods or for some other thing etc. Despite its leading role, many students just don’t want to study math because they consider it tricky and complex. But if you know the concepts then you will understand how easy math is. So what we need to do is to understand the rationale of mathematical concepts instead of cramming it.
As there are n number of concepts and questions and it is not possible to cram each and every question. Thus one should always understand the concept. Many students face difficulty in solving percentages as they don’t know what a percentage is and how it is solved. So follow this tutorial on how to solve percentage problems steps wise and excel in math and improve your grades. Master the math by following our given instructions on solving percentage problems.
What is a Percentage?
Before leading how to solve percentage problems learn what is a percentage. Suppose you have 10 chocolates and you have 4 chocolates to your friend and now you want to learn what is the relation of 4 chocolates with the total 10 chocolates and you can write such relation in percentage basis. So here we use the percentages in mathematics. Thus, a percentage is basically a method used for computing how much of something is there in relation to that entire something. Don’t think that usage of percentages is restricted to mathematics as an education rather it is used on a daily basis in everyday situations.
Understand about percentages
Percentage is written as ‘%’ in mathematics.
Percentage in numeric value is always 100 this is why we take the number as 100 and the number with which we want to find out the relation must be less than 100.
Next point to know in percentages is that it is absolute that is 100 %.
For example 100% of 20 is 20.
Learn following percentages – How To solve percentage
100 percent of any number will always be the exact number. It shall be the absolute number.
When you have to find out the 50% of any number then you just have to divide the actual number by 2 then you will get the percentage.
For example, if you need to find out the 50% of the number 50 then divide the 50 by 2 and then you will get the answer that is 50/2 = 25.
75% is ⅔ of any number. So if you have to find out the 75% of any number then you just have to multiply the number by ⅔.
10% of any number shall be 1/10th of the number so if you have to find out the 10% of any number then divide the number with 10. For example if you need to find the 10% of 50 then the answer shall be 50/10 that is 5.
Steps : How To solve percentage problems
Let’s learn the steps for solving percentage through examples –
Example 1 – how to solve percentage problems
So the first step is to write down the number of which you want to find out the percentage. Suppose you need to find the 70 % of 200 then the number is 200 and percent is 70 so you have to write down the percentage 70 / 100.
Thus the next thing to learn in how to solve percentage is that you will write the equation in following manner –
70% of 200
Of means the multiply which is written as ‘x’.
70/100 x 200
Hence, the answer is 140.
Example 2 – how to solve percentage problems
Now let’s learn how to solve the percentage through x method whereby we will take the result as x and then we will find the value of x accordingly.
So let’s assume the answer is X and you need to find the x% of 200 and the answer is 50 this we will have the following equation –
X% of 300 = 50
Now write the % as 1/100 and of as x thus we will have the following result –
X x 1/100 x 200 = 50
X x 2 = 50
X = 50/2
X = 25.
Thus 50 is the 25 percent of 200.
Example 3 – how to solve percentage problems
Suppose you have to find the marks percentage on the basis of following information –
Math – 75 out of 100
Science – 90 out of 100
English – 65 out of 100
Social science – 80 out of 100
In order to solve this percentage problem, you first have to add all the marks then we will get the following answer
X = 75 + 90 + 65 + 80
Thus total marks you have got is 310 and the total number of marks shall be 400 as one subject is of 100 marks and there are 4 subjects. Thus the person has got 310 out of 400.
So let’s take the percentage as x%. Thus, we will have the following equation –
X% of 400 is 310
It can be written as –
X x (1/100) x 400 = 310
X x 4 = 310
X = 310/4
Thus the person has got 77.5%.
Percentage seems tough initially but it becomes a mind game with the practice and if you know how to solve percentage problems. if you know how to solve the percentage. So if you are struggling with percentages then follow the given steps and excel in percentages. If you still face difficulty in solving percentages then you can contact our expert team 24 by 7 for providing you immediate math homework answers. Get the best help with me my homework math.