842.7 is what percent of 2800 - 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 2800 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 2800, so we can write it down as 100%=2800.
4. We know, that x% equals 842.7 of the output value, so we can write it down as x%=842.7.
5. Now we have two simple equations:
1) 100%=2800
2) x%=842.7
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%=2800/842.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 842.7 is what percent of 2800

100%/x%=2800/842.7
(100/x)*x=(2800/842.7)*x       - we multiply both sides of the equation by x
100=3.3226533760532*x       - we divide both sides of the equation by (3.3226533760532) to get x
100/3.3226533760532=x
30.096428571429=x
x=30.096428571429

now we have:
842.7 is 30.096428571429% of 2800