61.5 is what percent of 348.9 - 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 348.9 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 348.9, so we can write it down as 100%=348.9.
4. We know, that x% equals 61.5 of the output value, so we can write it down as x%=61.5.
5. Now we have two simple equations:
1) 100%=348.9
2) x%=61.5
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%=348.9/61.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 61.5 is what percent of 348.9

100%/x%=348.9/61.5
(100/x)*x=(348.9/61.5)*x       - we multiply both sides of the equation by x
100=5.6731707317073*x       - we divide both sides of the equation by (5.6731707317073) to get x
100/5.6731707317073=x
17.626827171109=x
x=17.626827171109

now we have:
61.5 is 17.626827171109% of 348.9