What is 82.09 percent of 70 - step by step solution

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

1. We assume, that the number 70 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 70 is 100%, so we can write it down as 70=100%.
4. We know, that x is 82.09% of the output value, so we can write it down as x=82.09%.
5. Now we have two simple equations:
1) 70=100%
2) x=82.09%
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:
70/x=100%/82.09%
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 82.09% of 70

70/x=100/82.09
(70/x)*x=(100/82.09)*x       - we multiply both sides of the equation by x
70=1.21817517359*x       - we divide both sides of the equation by (1.21817517359) to get x
70/1.21817517359=x
57.463=x
x=57.463

now we have:
82.09% of 70=57.463