87 is what percent of 2843 - 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 2843 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 2843, so we can write it down as 100%=2843.
4. We know, that x% equals 87 of the output value, so we can write it down as x%=87.
5. Now we have two simple equations:
1) 100%=2843
2) x%=87
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%=2843/87
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 87 is what percent of 2843

100%/x%=2843/87
(100/x)*x=(2843/87)*x       - we multiply both sides of the equation by x
100=32.67816091954*x       - we divide both sides of the equation by (32.67816091954) to get x
100/32.67816091954=x
3.0601477312698=x
x=3.0601477312698

now we have:
87 is 3.0601477312698% of 2843