46.67 is what percent of 966.67 - 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 966.67 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 966.67, so we can write it down as 100%=966.67.
4. We know, that x% equals 46.67 of the output value, so we can write it down as x%=46.67.
5. Now we have two simple equations:
1) 100%=966.67
2) x%=46.67
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%=966.67/46.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 46.67 is what percent of 966.67

100%/x%=966.67/46.67
(100/x)*x=(966.67/46.67)*x       - we multiply both sides of the equation by x
100=20.712877651596*x       - we divide both sides of the equation by (20.712877651596) to get x
100/20.712877651596=x
4.8279143865021=x
x=4.8279143865021

now we have:
46.67 is 4.8279143865021% of 966.67