2000.76 is what percent of 20110.76 - 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 20110.76 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 20110.76, so we can write it down as 100%=20110.76.
4. We know, that x% equals 2000.76 of the output value, so we can write it down as x%=2000.76.
5. Now we have two simple equations:
1) 100%=20110.76
2) x%=2000.76
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%=20110.76/2000.76
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2000.76 is what percent of 20110.76

100%/x%=20110.76/2000.76
(100/x)*x=(20110.76/2000.76)*x       - we multiply both sides of the equation by x
100=10.051560407045*x       - we divide both sides of the equation by (10.051560407045) to get x
100/10.051560407045=x
9.9487040768226=x
x=9.9487040768226

now we have:
2000.76 is 9.9487040768226% of 20110.76