355.93 is what percent of 2424.27 - 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 2424.27 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 2424.27, so we can write it down as 100%=2424.27.
4. We know, that x% equals 355.93 of the output value, so we can write it down as x%=355.93.
5. Now we have two simple equations:
1) 100%=2424.27
2) x%=355.93
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%=2424.27/355.93
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 355.93 is what percent of 2424.27

100%/x%=2424.27/355.93
(100/x)*x=(2424.27/355.93)*x       - we multiply both sides of the equation by x
100=6.8110864495828*x       - we divide both sides of the equation by (6.8110864495828) to get x
100/6.8110864495828=x
14.68194549287=x
x=14.68194549287

now we have:
355.93 is 14.68194549287% of 2424.27