0.65 is what percent of 1.03 - 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 1.03 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 1.03, so we can write it down as 100%=1.03.
4. We know, that x% equals 0.65 of the output value, so we can write it down as x%=0.65.
5. Now we have two simple equations:
1) 100%=1.03
2) x%=0.65
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%=1.03/0.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.65 is what percent of 1.03

100%/x%=1.03/0.65
(100/x)*x=(1.03/0.65)*x       - we multiply both sides of the equation by x
100=1.5846153846154*x       - we divide both sides of the equation by (1.5846153846154) to get x
100/1.5846153846154=x
63.106796116505=x
x=63.106796116505

now we have:
0.65 is 63.106796116505% of 1.03