19.96 is what percent of 1603 - 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 1603 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 1603, so we can write it down as 100%=1603.
4. We know, that x% equals 19.96 of the output value, so we can write it down as x%=19.96.
5. Now we have two simple equations:
1) 100%=1603
2) x%=19.96
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%=1603/19.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 19.96 is what percent of 1603

100%/x%=1603/19.96
(100/x)*x=(1603/19.96)*x       - we multiply both sides of the equation by x
100=80.310621242485*x       - we divide both sides of the equation by (80.310621242485) to get x
100/80.310621242485=x
1.2451653150343=x
x=1.2451653150343

now we have:
19.96 is 1.2451653150343% of 1603