46.6 is what percent of 17.5 - 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 17.5 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 17.5, so we can write it down as 100%=17.5.
4. We know, that x% equals 46.6 of the output value, so we can write it down as x%=46.6.
5. Now we have two simple equations:
1) 100%=17.5
2) x%=46.6
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%=17.5/46.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 46.6 is what percent of 17.5

100%/x%=17.5/46.6
(100/x)*x=(17.5/46.6)*x       - we multiply both sides of the equation by x
100=0.3755364806867*x       - we divide both sides of the equation by (0.3755364806867) to get x
100/0.3755364806867=x
266.28571428571=x
x=266.28571428571

now we have:
46.6 is 266.28571428571% of 17.5