35 is what percent of 8.41 - 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 8.41 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 8.41, so we can write it down as 100%=8.41.
4. We know, that x% equals 35 of the output value, so we can write it down as x%=35.
5. Now we have two simple equations:
1) 100%=8.41
2) x%=35
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%=8.41/35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 35 is what percent of 8.41

100%/x%=8.41/35
(100/x)*x=(8.41/35)*x       - we multiply both sides of the equation by x
100=0.24028571428571*x       - we divide both sides of the equation by (0.24028571428571) to get x
100/0.24028571428571=x
416.17122473246=x
x=416.17122473246

now we have:
35 is 416.17122473246% of 8.41