71.23 is what percent of 2000 - 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 2000 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 2000, so we can write it down as 100%=2000.
4. We know, that x% equals 71.23 of the output value, so we can write it down as x%=71.23.
5. Now we have two simple equations:
1) 100%=2000
2) x%=71.23
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%=2000/71.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 71.23 is what percent of 2000

100%/x%=2000/71.23
(100/x)*x=(2000/71.23)*x       - we multiply both sides of the equation by x
100=28.078056998456*x       - we divide both sides of the equation by (28.078056998456) to get x
100/28.078056998456=x
3.5615=x
x=3.5615

now we have:
71.23 is 3.5615% of 2000