46.75 is what percent of 712.75 - 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 712.75 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 712.75, so we can write it down as 100%=712.75.
4. We know, that x% equals 46.75 of the output value, so we can write it down as x%=46.75.
5. Now we have two simple equations:
1) 100%=712.75
2) x%=46.75
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%=712.75/46.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 46.75 is what percent of 712.75

100%/x%=712.75/46.75
(100/x)*x=(712.75/46.75)*x       - we multiply both sides of the equation by x
100=15.245989304813*x       - we divide both sides of the equation by (15.245989304813) to get x
100/15.245989304813=x
6.5591020694493=x
x=6.5591020694493

now we have:
46.75 is 6.5591020694493% of 712.75