35.25 is what percent of 343.24 - 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 343.24 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 343.24, so we can write it down as 100%=343.24.
4. We know, that x% equals 35.25 of the output value, so we can write it down as x%=35.25.
5. Now we have two simple equations:
1) 100%=343.24
2) x%=35.25
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%=343.24/35.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 35.25 is what percent of 343.24

100%/x%=343.24/35.25
(100/x)*x=(343.24/35.25)*x       - we multiply both sides of the equation by x
100=9.737304964539*x       - we divide both sides of the equation by (9.737304964539) to get x
100/9.737304964539=x
10.269782076681=x
x=10.269782076681

now we have:
35.25 is 10.269782076681% of 343.24