58.19 is what percent of 349 - 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 349 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 349, so we can write it down as 100%=349.
4. We know, that x% equals 58.19 of the output value, so we can write it down as x%=58.19.
5. Now we have two simple equations:
1) 100%=349
2) x%=58.19
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%=349/58.19
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 58.19 is what percent of 349

100%/x%=349/58.19
(100/x)*x=(349/58.19)*x       - we multiply both sides of the equation by x
100=5.9975940883313*x       - we divide both sides of the equation by (5.9975940883313) to get x
100/5.9975940883313=x
16.67335243553=x
x=16.67335243553

now we have:
58.19 is 16.67335243553% of 349