296.34 is what percent of 1792.68 - 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 1792.68 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 1792.68, so we can write it down as 100%=1792.68.
4. We know, that x% equals 296.34 of the output value, so we can write it down as x%=296.34.
5. Now we have two simple equations:
1) 100%=1792.68
2) x%=296.34
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%=1792.68/296.34
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 296.34 is what percent of 1792.68

100%/x%=1792.68/296.34
(100/x)*x=(1792.68/296.34)*x       - we multiply both sides of the equation by x
100=6.0494027130998*x       - we divide both sides of the equation by (6.0494027130998) to get x
100/6.0494027130998=x
16.53055760091=x
x=16.53055760091

now we have:
296.34 is 16.53055760091% of 1792.68