What is 97.8 percent of 2300 - 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 2300 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 2300 is 100%, so we can write it down as 2300=100%.
4. We know, that x is 97.8% of the output value, so we can write it down as x=97.8%.
5. Now we have two simple equations:
1) 2300=100%
2) x=97.8%
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:
2300/x=100%/97.8%
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 97.8% of 2300

2300/x=100/97.8
(2300/x)*x=(100/97.8)*x       - we multiply both sides of the equation by x
2300=1.0224948875256*x       - we divide both sides of the equation by (1.0224948875256) to get x
2300/1.0224948875256=x
2249.4=x
x=2249.4

now we have:
97.8% of 2300=2249.4