14.35 is what percent of 8.34 - 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 8.34 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 8.34, so we can write it down as 100%=8.34.
4. We know, that x% equals 14.35 of the output value, so we can write it down as x%=14.35.
5. Now we have two simple equations:
1) 100%=8.34
2) x%=14.35
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%=8.34/14.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 14.35 is what percent of 8.34

100%/x%=8.34/14.35
(100/x)*x=(8.34/14.35)*x       - we multiply both sides of the equation by x
100=0.58118466898955*x       - we divide both sides of the equation by (0.58118466898955) to get x
100/0.58118466898955=x
172.0623501199=x
x=172.0623501199

now we have:
14.35 is 172.0623501199% of 8.34