882.7 is what percent of 6790 - 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 6790 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 6790, so we can write it down as 100%=6790.
4. We know, that x% equals 882.7 of the output value, so we can write it down as x%=882.7.
5. Now we have two simple equations:
1) 100%=6790
2) x%=882.7
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%=6790/882.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 882.7 is what percent of 6790

100%/x%=6790/882.7
(100/x)*x=(6790/882.7)*x       - we multiply both sides of the equation by x
100=7.6923076923077*x       - we divide both sides of the equation by (7.6923076923077) to get x
100/7.6923076923077=x
13=x
x=13

now we have:
882.7 is 13% of 6790