355.14 is what percent of 490 - 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 490 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 490, so we can write it down as 100%=490.
4. We know, that x% equals 355.14 of the output value, so we can write it down as x%=355.14.
5. Now we have two simple equations:
1) 100%=490
2) x%=355.14
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%=490/355.14
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 355.14 is what percent of 490

100%/x%=490/355.14
(100/x)*x=(490/355.14)*x       - we multiply both sides of the equation by x
100=1.3797375682829*x       - we divide both sides of the equation by (1.3797375682829) to get x
100/1.3797375682829=x
72.477551020408=x
x=72.477551020408

now we have:
355.14 is 72.477551020408% of 490