172.91 is what percent of 343.09 - 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 343.09 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 343.09, so we can write it down as 100%=343.09.
4. We know, that x% equals 172.91 of the output value, so we can write it down as x%=172.91.
5. Now we have two simple equations:
1) 100%=343.09
2) x%=172.91
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%=343.09/172.91
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 172.91 is what percent of 343.09

100%/x%=343.09/172.91
(100/x)*x=(343.09/172.91)*x       - we multiply both sides of the equation by x
100=1.9842114394772*x       - we divide both sides of the equation by (1.9842114394772) to get x
100/1.9842114394772=x
50.397854790288=x
x=50.397854790288

now we have:
172.91 is 50.397854790288% of 343.09