46 is what percent of 109.35 - 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 109.35 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 109.35, so we can write it down as 100%=109.35.
4. We know, that x% equals 46 of the output value, so we can write it down as x%=46.
5. Now we have two simple equations:
1) 100%=109.35
2) x%=46
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%=109.35/46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 46 is what percent of 109.35

100%/x%=109.35/46
(100/x)*x=(109.35/46)*x       - we multiply both sides of the equation by x
100=2.3771739130435*x       - we divide both sides of the equation by (2.3771739130435) to get x
100/2.3771739130435=x
42.066758116141=x
x=42.066758116141

now we have:
46 is 42.066758116141% of 109.35