684.4 is what percent of 875 - 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 875 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 875, so we can write it down as 100%=875.
4. We know, that x% equals 684.4 of the output value, so we can write it down as x%=684.4.
5. Now we have two simple equations:
1) 100%=875
2) x%=684.4
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%=875/684.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 684.4 is what percent of 875

100%/x%=875/684.4
(100/x)*x=(875/684.4)*x       - we multiply both sides of the equation by x
100=1.2784921098773*x       - we divide both sides of the equation by (1.2784921098773) to get x
100/1.2784921098773=x
78.217142857143=x
x=78.217142857143

now we have:
684.4 is 78.217142857143% of 875