199.98 is what percent of 1.423 - 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 1.423 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 1.423, so we can write it down as 100%=1.423.
4. We know, that x% equals 199.98 of the output value, so we can write it down as x%=199.98.
5. Now we have two simple equations:
1) 100%=1.423
2) x%=199.98
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%=1.423/199.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 199.98 is what percent of 1.423

100%/x%=1.423/199.98
(100/x)*x=(1.423/199.98)*x       - we multiply both sides of the equation by x
100=0.0071157115711571*x       - we divide both sides of the equation by (0.0071157115711571) to get x
100/0.0071157115711571=x
14053.40829234=x
x=14053.40829234

now we have:
199.98 is 14053.40829234% of 1.423