8.41 is what percent of 34.79 - 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 34.79 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 34.79, so we can write it down as 100%=34.79.
4. We know, that x% equals 8.41 of the output value, so we can write it down as x%=8.41.
5. Now we have two simple equations:
1) 100%=34.79
2) x%=8.41
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%=34.79/8.41
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.41 is what percent of 34.79

100%/x%=34.79/8.41
(100/x)*x=(34.79/8.41)*x       - we multiply both sides of the equation by x
100=4.1367419738407*x       - we divide both sides of the equation by (4.1367419738407) to get x
100/4.1367419738407=x
24.173613107215=x
x=24.173613107215

now we have:
8.41 is 24.173613107215% of 34.79