357.94 is what percent of 3390.53 - 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 3390.53 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 100% equals 3390.53, so we can write it down as 100%=3390.53.
4. We know, that x% equals 357.94 of the output value, so we can write it down as x%=357.94.
5. Now we have two simple equations:
1) 100%=3390.53
2) x%=357.94
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:
100%/x%=3390.53/357.94
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 357.94 is what percent of 3390.53

100%/x%=3390.53/357.94
(100/x)*x=(3390.53/357.94)*x       - we multiply both sides of the equation by x
100=9.4723417332514*x       - we divide both sides of the equation by (9.4723417332514) to get x
100/9.4723417332514=x
10.557051552412=x
x=10.557051552412

now we have:
357.94 is 10.557051552412% of 3390.53