0.35 is what percent of 8.22 - 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 8.22 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 8.22, so we can write it down as 100%=8.22.
4. We know, that x% equals 0.35 of the output value, so we can write it down as x%=0.35.
5. Now we have two simple equations:
1) 100%=8.22
2) x%=0.35
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%=8.22/0.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.35 is what percent of 8.22

100%/x%=8.22/0.35
(100/x)*x=(8.22/0.35)*x       - we multiply both sides of the equation by x
100=23.485714285714*x       - we divide both sides of the equation by (23.485714285714) to get x
100/23.485714285714=x
4.2579075425791=x
x=4.2579075425791

now we have:
0.35 is 4.2579075425791% of 8.22