998.96 is what percent of 1874.98 - 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 1874.98 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 1874.98, so we can write it down as 100%=1874.98.
4. We know, that x% equals 998.96 of the output value, so we can write it down as x%=998.96.
5. Now we have two simple equations:
1) 100%=1874.98
2) x%=998.96
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%=1874.98/998.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 998.96 is what percent of 1874.98

100%/x%=1874.98/998.96
(100/x)*x=(1874.98/998.96)*x       - we multiply both sides of the equation by x
100=1.8769320092897*x       - we divide both sides of the equation by (1.8769320092897) to get x
100/1.8769320092897=x
53.278434969973=x
x=53.278434969973

now we have:
998.96 is 53.278434969973% of 1874.98