35.8 is what percent of 29.4 - 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 29.4 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 29.4, so we can write it down as 100%=29.4.
4. We know, that x% equals 35.8 of the output value, so we can write it down as x%=35.8.
5. Now we have two simple equations:
1) 100%=29.4
2) x%=35.8
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%=29.4/35.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 35.8 is what percent of 29.4

100%/x%=29.4/35.8
(100/x)*x=(29.4/35.8)*x       - we multiply both sides of the equation by x
100=0.82122905027933*x       - we divide both sides of the equation by (0.82122905027933) to get x
100/0.82122905027933=x
121.76870748299=x
x=121.76870748299

now we have:
35.8 is 121.76870748299% of 29.4