97.17 is what percent of 1618.87 - 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 1618.87 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 1618.87, so we can write it down as 100%=1618.87.
4. We know, that x% equals 97.17 of the output value, so we can write it down as x%=97.17.
5. Now we have two simple equations:
1) 100%=1618.87
2) x%=97.17
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%=1618.87/97.17
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 97.17 is what percent of 1618.87

100%/x%=1618.87/97.17
(100/x)*x=(1618.87/97.17)*x       - we multiply both sides of the equation by x
100=16.66018318411*x       - we divide both sides of the equation by (16.66018318411) to get x
100/16.66018318411=x
6.0023349620414=x
x=6.0023349620414

now we have:
97.17 is 6.0023349620414% of 1618.87