4.03 is what percent of 20.08 - 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 20.08 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 20.08, so we can write it down as 100%=20.08.
4. We know, that x% equals 4.03 of the output value, so we can write it down as x%=4.03.
5. Now we have two simple equations:
1) 100%=20.08
2) x%=4.03
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%=20.08/4.03
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.03 is what percent of 20.08

100%/x%=20.08/4.03
(100/x)*x=(20.08/4.03)*x       - we multiply both sides of the equation by x
100=4.9826302729529*x       - we divide both sides of the equation by (4.9826302729529) to get x
100/4.9826302729529=x
20.069721115538=x
x=20.069721115538

now we have:
4.03 is 20.069721115538% of 20.08