198.77 is what percent of 1870.21 - 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 1870.21 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 1870.21, so we can write it down as 100%=1870.21.
4. We know, that x% equals 198.77 of the output value, so we can write it down as x%=198.77.
5. Now we have two simple equations:
1) 100%=1870.21
2) x%=198.77
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%=1870.21/198.77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 198.77 is what percent of 1870.21

100%/x%=1870.21/198.77
(100/x)*x=(1870.21/198.77)*x       - we multiply both sides of the equation by x
100=9.408914826181*x       - we divide both sides of the equation by (9.408914826181) to get x
100/9.408914826181=x
10.628218221483=x
x=10.628218221483

now we have:
198.77 is 10.628218221483% of 1870.21