351.02 is what percent of 1110.38 - 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 1110.38 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 1110.38, so we can write it down as 100%=1110.38.
4. We know, that x% equals 351.02 of the output value, so we can write it down as x%=351.02.
5. Now we have two simple equations:
1) 100%=1110.38
2) x%=351.02
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%=1110.38/351.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 351.02 is what percent of 1110.38

100%/x%=1110.38/351.02
(100/x)*x=(1110.38/351.02)*x       - we multiply both sides of the equation by x
100=3.1632955387157*x       - we divide both sides of the equation by (3.1632955387157) to get x
100/3.1632955387157=x
31.612601091518=x
x=31.612601091518

now we have:
351.02 is 31.612601091518% of 1110.38