1988.81 is what percent of 10000 - 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 10000 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 10000, so we can write it down as 100%=10000.
4. We know, that x% equals 1988.81 of the output value, so we can write it down as x%=1988.81.
5. Now we have two simple equations:
1) 100%=10000
2) x%=1988.81
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%=10000/1988.81
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1988.81 is what percent of 10000

100%/x%=10000/1988.81
(100/x)*x=(10000/1988.81)*x       - we multiply both sides of the equation by x
100=5.0281324007824*x       - we divide both sides of the equation by (5.0281324007824) to get x
100/5.0281324007824=x
19.8881=x
x=19.8881

now we have:
1988.81 is 19.8881% of 10000