What is 86 percent of 120 - step by step solution

Simple and best practice solution for 86% of 120. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

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To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 120 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 120 is 100%, so we can write it down as 120=100%.
4. We know, that x is 86% of the output value, so we can write it down as x=86%.
5. Now we have two simple equations:
1) 120=100%
2) x=86%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
120/x=100%/86%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 86% of 120

120/x=100/86
(120/x)*x=(100/86)*x       - we multiply both sides of the equation by x
120=1.16279069767*x       - we divide both sides of the equation by (1.16279069767) to get x
120/1.16279069767=x
103.2=x
x=103.2

now we have:
86% of 120=103.2

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