35.6 is what percent of 105 - 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 105 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 105, so we can write it down as 100%=105.
4. We know, that x% equals 35.6 of the output value, so we can write it down as x%=35.6.
5. Now we have two simple equations:
1) 100%=105
2) x%=35.6
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%=105/35.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 35.6 is what percent of 105

100%/x%=105/35.6
(100/x)*x=(105/35.6)*x       - we multiply both sides of the equation by x
100=2.9494382022472*x       - we divide both sides of the equation by (2.9494382022472) to get x
100/2.9494382022472=x
33.904761904762=x
x=33.904761904762

now we have:
35.6 is 33.904761904762% of 105