17.96 is what percent of 923.06 - 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 923.06 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 923.06, so we can write it down as 100%=923.06.
4. We know, that x% equals 17.96 of the output value, so we can write it down as x%=17.96.
5. Now we have two simple equations:
1) 100%=923.06
2) x%=17.96
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%=923.06/17.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 17.96 is what percent of 923.06

100%/x%=923.06/17.96
(100/x)*x=(923.06/17.96)*x       - we multiply both sides of the equation by x
100=51.395322939866*x       - we divide both sides of the equation by (51.395322939866) to get x
100/51.395322939866=x
1.9457023378762=x
x=1.9457023378762

now we have:
17.96 is 1.9457023378762% of 923.06