870.8 is what percent of 6220 - 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 6220 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 6220, so we can write it down as 100%=6220.
4. We know, that x% equals 870.8 of the output value, so we can write it down as x%=870.8.
5. Now we have two simple equations:
1) 100%=6220
2) x%=870.8
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:
100%/x%=6220/870.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 870.8 is what percent of 6220

100%/x%=6220/870.8
(100/x)*x=(6220/870.8)*x       - we multiply both sides of the equation by x
100=7.1428571428571*x       - we divide both sides of the equation by (7.1428571428571) to get x
100/7.1428571428571=x
14=x
x=14

now we have:
870.8 is 14% of 6220