1287.5 is what percent of 3210 - 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 3210 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 3210, so we can write it down as 100%=3210.
4. We know, that x% equals 1287.5 of the output value, so we can write it down as x%=1287.5.
5. Now we have two simple equations:
1) 100%=3210
2) x%=1287.5
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%=3210/1287.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1287.5 is what percent of 3210

100%/x%=3210/1287.5
(100/x)*x=(3210/1287.5)*x       - we multiply both sides of the equation by x
100=2.4932038834951*x       - we divide both sides of the equation by (2.4932038834951) to get x
100/2.4932038834951=x
40.109034267913=x
x=40.109034267913

now we have:
1287.5 is 40.109034267913% of 3210