163.4 is what percent of 348.94 - 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 348.94 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 348.94, so we can write it down as 100%=348.94.
4. We know, that x% equals 163.4 of the output value, so we can write it down as x%=163.4.
5. Now we have two simple equations:
1) 100%=348.94
2) x%=163.4
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%=348.94/163.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 163.4 is what percent of 348.94

100%/x%=348.94/163.4
(100/x)*x=(348.94/163.4)*x       - we multiply both sides of the equation by x
100=2.1354957160343*x       - we divide both sides of the equation by (2.1354957160343) to get x
100/2.1354957160343=x
46.82753481974=x
x=46.82753481974

now we have:
163.4 is 46.82753481974% of 348.94