107.43 is what percent of 358.1 - 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 358.1 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 358.1, so we can write it down as 100%=358.1.
4. We know, that x% equals 107.43 of the output value, so we can write it down as x%=107.43.
5. Now we have two simple equations:
1) 100%=358.1
2) x%=107.43
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%=358.1/107.43
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 107.43 is what percent of 358.1

100%/x%=358.1/107.43
(100/x)*x=(358.1/107.43)*x       - we multiply both sides of the equation by x
100=3.3333333333333*x       - we divide both sides of the equation by (3.3333333333333) to get x
100/3.3333333333333=x
30=x
x=30

now we have:
107.43 is 30% of 358.1