198.75 is what percent of 1045 - 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 1045 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 1045, so we can write it down as 100%=1045.
4. We know, that x% equals 198.75 of the output value, so we can write it down as x%=198.75.
5. Now we have two simple equations:
1) 100%=1045
2) x%=198.75
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%=1045/198.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 198.75 is what percent of 1045

100%/x%=1045/198.75
(100/x)*x=(1045/198.75)*x       - we multiply both sides of the equation by x
100=5.2578616352201*x       - we divide both sides of the equation by (5.2578616352201) to get x
100/5.2578616352201=x
19.019138755981=x
x=19.019138755981

now we have:
198.75 is 19.019138755981% of 1045