36.03 is what percent of 73.0695 - 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 73.0695 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 73.0695, so we can write it down as 100%=73.0695.
4. We know, that x% equals 36.03 of the output value, so we can write it down as x%=36.03.
5. Now we have two simple equations:
1) 100%=73.0695
2) x%=36.03
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%=73.0695/36.03
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 36.03 is what percent of 73.0695

100%/x%=73.0695/36.03
(100/x)*x=(73.0695/36.03)*x       - we multiply both sides of the equation by x
100=2.0280183180683*x       - we divide both sides of the equation by (2.0280183180683) to get x
100/2.0280183180683=x
49.309219304908=x
x=49.309219304908

now we have:
36.03 is 49.309219304908% of 73.0695