49.86 is what percent of 346.25 - 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 346.25 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 346.25, so we can write it down as 100%=346.25.
4. We know, that x% equals 49.86 of the output value, so we can write it down as x%=49.86.
5. Now we have two simple equations:
1) 100%=346.25
2) x%=49.86
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%=346.25/49.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 49.86 is what percent of 346.25

100%/x%=346.25/49.86
(100/x)*x=(346.25/49.86)*x       - we multiply both sides of the equation by x
100=6.9444444444444*x       - we divide both sides of the equation by (6.9444444444444) to get x
100/6.9444444444444=x
14.4=x
x=14.4

now we have:
49.86 is 14.4% of 346.25