165.2 is what percent of 350 - 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 350 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 350, so we can write it down as 100%=350.
4. We know, that x% equals 165.2 of the output value, so we can write it down as x%=165.2.
5. Now we have two simple equations:
1) 100%=350
2) x%=165.2
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%=350/165.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 165.2 is what percent of 350

100%/x%=350/165.2
(100/x)*x=(350/165.2)*x       - we multiply both sides of the equation by x
100=2.1186440677966*x       - we divide both sides of the equation by (2.1186440677966) to get x
100/2.1186440677966=x
47.2=x
x=47.2

now we have:
165.2 is 47.2% of 350