What is 357.5 percent of 10 - 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 10 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 10 is 100%, so we can write it down as 10=100%.
4. We know, that x is 357.5% of the output value, so we can write it down as x=357.5%.
5. Now we have two simple equations:
1) 10=100%
2) x=357.5%
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:
10/x=100%/357.5%
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 357.5% of 10

10/x=100/357.5
(10/x)*x=(100/357.5)*x       - we multiply both sides of the equation by x
10=0.27972027972028*x       - we divide both sides of the equation by (0.27972027972028) to get x
10/0.27972027972028=x
35.75=x
x=35.75

now we have:
357.5% of 10=35.75