What is 2.1 percent of 2164 - 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 2164 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 2164 is 100%, so we can write it down as 2164=100%.
4. We know, that x is 2.1% of the output value, so we can write it down as x=2.1%.
5. Now we have two simple equations:
1) 2164=100%
2) x=2.1%
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:
2164/x=100%/2.1%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 2.1% of 2164

2164/x=100/2.1
(2164/x)*x=(100/2.1)*x       - we multiply both sides of the equation by x
2164=47.619047619048*x       - we divide both sides of the equation by (47.619047619048) to get x
2164/47.619047619048=x
45.444=x
x=45.444

now we have:
2.1% of 2164=45.444