46.5 is what percent of 71 - 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 71 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 71, so we can write it down as 100%=71.
4. We know, that x% equals 46.5 of the output value, so we can write it down as x%=46.5.
5. Now we have two simple equations:
1) 100%=71
2) x%=46.5
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%=71/46.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 46.5 is what percent of 71

100%/x%=71/46.5
(100/x)*x=(71/46.5)*x       - we multiply both sides of the equation by x
100=1.5268817204301*x       - we divide both sides of the equation by (1.5268817204301) to get x
100/1.5268817204301=x
65.492957746479=x
x=65.492957746479

now we have:
46.5 is 65.492957746479% of 71