308.6 is what percent of 379 - 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 379 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 379, so we can write it down as 100%=379.
4. We know, that x% equals 308.6 of the output value, so we can write it down as x%=308.6.
5. Now we have two simple equations:
1) 100%=379
2) x%=308.6
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%=379/308.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 308.6 is what percent of 379

100%/x%=379/308.6
(100/x)*x=(379/308.6)*x       - we multiply both sides of the equation by x
100=1.2281270252754*x       - we divide both sides of the equation by (1.2281270252754) to get x
100/1.2281270252754=x
81.424802110818=x
x=81.424802110818

now we have:
308.6 is 81.424802110818% of 379