201.1 is what percent of 345.2 - 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 345.2 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 345.2, so we can write it down as 100%=345.2.
4. We know, that x% equals 201.1 of the output value, so we can write it down as x%=201.1.
5. Now we have two simple equations:
1) 100%=345.2
2) x%=201.1
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%=345.2/201.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 201.1 is what percent of 345.2

100%/x%=345.2/201.1
(100/x)*x=(345.2/201.1)*x       - we multiply both sides of the equation by x
100=1.7165589259075*x       - we divide both sides of the equation by (1.7165589259075) to get x
100/1.7165589259075=x
58.256083429896=x
x=58.256083429896

now we have:
201.1 is 58.256083429896% of 345.2