35 is what percent of 356.6 - 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 356.6 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 356.6, so we can write it down as 100%=356.6.
4. We know, that x% equals 35 of the output value, so we can write it down as x%=35.
5. Now we have two simple equations:
1) 100%=356.6
2) x%=35
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%=356.6/35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 35 is what percent of 356.6

100%/x%=356.6/35
(100/x)*x=(356.6/35)*x       - we multiply both sides of the equation by x
100=10.188571428571*x       - we divide both sides of the equation by (10.188571428571) to get x
100/10.188571428571=x
9.8149186763881=x
x=9.8149186763881

now we have:
35 is 9.8149186763881% of 356.6