355.13 is what percent of 1228.43 - 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 1228.43 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 1228.43, so we can write it down as 100%=1228.43.
4. We know, that x% equals 355.13 of the output value, so we can write it down as x%=355.13.
5. Now we have two simple equations:
1) 100%=1228.43
2) x%=355.13
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%=1228.43/355.13
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 355.13 is what percent of 1228.43

100%/x%=1228.43/355.13
(100/x)*x=(1228.43/355.13)*x       - we multiply both sides of the equation by x
100=3.4590994846957*x       - we divide both sides of the equation by (3.4590994846957) to get x
100/3.4590994846957=x
28.909258158788=x
x=28.909258158788

now we have:
355.13 is 28.909258158788% of 1228.43