46.98 is what percent of 316.35 - 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 316.35 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 316.35, so we can write it down as 100%=316.35.
4. We know, that x% equals 46.98 of the output value, so we can write it down as x%=46.98.
5. Now we have two simple equations:
1) 100%=316.35
2) x%=46.98
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%=316.35/46.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 46.98 is what percent of 316.35

100%/x%=316.35/46.98
(100/x)*x=(316.35/46.98)*x       - we multiply both sides of the equation by x
100=6.7337164750958*x       - we divide both sides of the equation by (6.7337164750958) to get x
100/6.7337164750958=x
14.850640113798=x
x=14.850640113798

now we have:
46.98 is 14.850640113798% of 316.35