46.2 is what percent of 71.5 - 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 71.5 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 71.5, so we can write it down as 100%=71.5.
4. We know, that x% equals 46.2 of the output value, so we can write it down as x%=46.2.
5. Now we have two simple equations:
1) 100%=71.5
2) x%=46.2
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%=71.5/46.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 46.2 is what percent of 71.5

100%/x%=71.5/46.2
(100/x)*x=(71.5/46.2)*x       - we multiply both sides of the equation by x
100=1.547619047619*x       - we divide both sides of the equation by (1.547619047619) to get x
100/1.547619047619=x
64.615384615385=x
x=64.615384615385

now we have:
46.2 is 64.615384615385% of 71.5