What is 118.57142857143 percent of 7 - 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 7 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 7 is 100%, so we can write it down as 7=100%.
4. We know, that x is 118.57142857143% of the output value, so we can write it down as x=118.57142857143%.
5. Now we have two simple equations:
1) 7=100%
2) x=118.57142857143%
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:
7/x=100%/118.57142857143%
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 118.57142857143% of 7

7/x=100/118.57142857143
(7/x)*x=(100/118.57142857143)*x       - we multiply both sides of the equation by x
7=0.84337349397589*x       - we divide both sides of the equation by (0.84337349397589) to get x
7/0.84337349397589=x
8.3000000000001=x
x=8.3000000000001

now we have:
118.57142857143% of 7=8.3000000000001