667.8 is what percent of 2097.4 - 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 2097.4 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 2097.4, so we can write it down as 100%=2097.4.
4. We know, that x% equals 667.8 of the output value, so we can write it down as x%=667.8.
5. Now we have two simple equations:
1) 100%=2097.4
2) x%=667.8
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%=2097.4/667.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 667.8 is what percent of 2097.4

100%/x%=2097.4/667.8
(100/x)*x=(2097.4/667.8)*x       - we multiply both sides of the equation by x
100=3.1407607067984*x       - we divide both sides of the equation by (3.1407607067984) to get x
100/3.1407607067984=x
31.839420234576=x
x=31.839420234576

now we have:
667.8 is 31.839420234576% of 2097.4