395.6 is what percent of 215 - 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 215 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 215, so we can write it down as 100%=215.
4. We know, that x% equals 395.6 of the output value, so we can write it down as x%=395.6.
5. Now we have two simple equations:
1) 100%=215
2) x%=395.6
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%=215/395.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 395.6 is what percent of 215

100%/x%=215/395.6
(100/x)*x=(215/395.6)*x       - we multiply both sides of the equation by x
100=0.54347826086957*x       - we divide both sides of the equation by (0.54347826086957) to get x
100/0.54347826086957=x
184=x
x=184

now we have:
395.6 is 184% of 215