826.44 is what percent of 6000 - 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 6000 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 6000, so we can write it down as 100%=6000.
4. We know, that x% equals 826.44 of the output value, so we can write it down as x%=826.44.
5. Now we have two simple equations:
1) 100%=6000
2) x%=826.44
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%=6000/826.44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 826.44 is what percent of 6000

100%/x%=6000/826.44
(100/x)*x=(6000/826.44)*x       - we multiply both sides of the equation by x
100=7.2600551764193*x       - we divide both sides of the equation by (7.2600551764193) to get x
100/7.2600551764193=x
13.774=x
x=13.774

now we have:
826.44 is 13.774% of 6000