215.31 is what percent of 911.9 - 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 911.9 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 911.9, so we can write it down as 100%=911.9.
4. We know, that x% equals 215.31 of the output value, so we can write it down as x%=215.31.
5. Now we have two simple equations:
1) 100%=911.9
2) x%=215.31
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%=911.9/215.31
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 215.31 is what percent of 911.9

100%/x%=911.9/215.31
(100/x)*x=(911.9/215.31)*x       - we multiply both sides of the equation by x
100=4.2352886535693*x       - we divide both sides of the equation by (4.2352886535693) to get x
100/4.2352886535693=x
23.611141572541=x
x=23.611141572541

now we have:
215.31 is 23.611141572541% of 911.9