64.7 is what percent of 139.7 - 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 139.7 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 139.7, so we can write it down as 100%=139.7.
4. We know, that x% equals 64.7 of the output value, so we can write it down as x%=64.7.
5. Now we have two simple equations:
1) 100%=139.7
2) x%=64.7
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%=139.7/64.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 64.7 is what percent of 139.7

100%/x%=139.7/64.7
(100/x)*x=(139.7/64.7)*x       - we multiply both sides of the equation by x
100=2.1591962905719*x       - we divide both sides of the equation by (2.1591962905719) to get x
100/2.1591962905719=x
46.313528990694=x
x=46.313528990694

now we have:
64.7 is 46.313528990694% of 139.7