367.89 is what percent of 6325.56 - 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 6325.56 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 6325.56, so we can write it down as 100%=6325.56.
4. We know, that x% equals 367.89 of the output value, so we can write it down as x%=367.89.
5. Now we have two simple equations:
1) 100%=6325.56
2) x%=367.89
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%=6325.56/367.89
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 367.89 is what percent of 6325.56

100%/x%=6325.56/367.89
(100/x)*x=(6325.56/367.89)*x       - we multiply both sides of the equation by x
100=17.194161298214*x       - we divide both sides of the equation by (17.194161298214) to get x
100/17.194161298214=x
5.8159277597557=x
x=5.8159277597557

now we have:
367.89 is 5.8159277597557% of 6325.56