22.95 is what percent of 370.17 - 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 370.17 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 370.17, so we can write it down as 100%=370.17.
4. We know, that x% equals 22.95 of the output value, so we can write it down as x%=22.95.
5. Now we have two simple equations:
1) 100%=370.17
2) x%=22.95
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%=370.17/22.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 22.95 is what percent of 370.17

100%/x%=370.17/22.95
(100/x)*x=(370.17/22.95)*x       - we multiply both sides of the equation by x
100=16.129411764706*x       - we divide both sides of the equation by (16.129411764706) to get x
100/16.129411764706=x
6.1998541210795=x
x=6.1998541210795

now we have:
22.95 is 6.1998541210795% of 370.17