0.05 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 0.05 of the output value, so we can write it down as x%=0.05.
5. Now we have two simple equations:
1) 100%=1.03
2) x%=0.05
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%=1.03/0.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.05 is what percent of 1.03

100%/x%=1.03/0.05
(100/x)*x=(1.03/0.05)*x       - we multiply both sides of the equation by x
100=20.6*x       - we divide both sides of the equation by (20.6) to get x
100/20.6=x
4.8543689320388=x
x=4.8543689320388

now we have:
0.05 is 4.8543689320388% of 1.03