35.43 is what percent of 34.425 - 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 34.425 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 34.425, so we can write it down as 100%=34.425.
4. We know, that x% equals 35.43 of the output value, so we can write it down as x%=35.43.
5. Now we have two simple equations:
1) 100%=34.425
2) x%=35.43
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%=34.425/35.43
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 35.43 is what percent of 34.425

100%/x%=34.425/35.43
(100/x)*x=(34.425/35.43)*x       - we multiply both sides of the equation by x
100=0.97163420829805*x       - we divide both sides of the equation by (0.97163420829805) to get x
100/0.97163420829805=x
102.91938997821=x
x=102.91938997821

now we have:
35.43 is 102.91938997821% of 34.425