296.88 is what percent of 658.27 - 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 658.27 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 658.27, so we can write it down as 100%=658.27.
4. We know, that x% equals 296.88 of the output value, so we can write it down as x%=296.88.
5. Now we have two simple equations:
1) 100%=658.27
2) x%=296.88
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%=658.27/296.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 296.88 is what percent of 658.27

100%/x%=658.27/296.88
(100/x)*x=(658.27/296.88)*x       - we multiply both sides of the equation by x
100=2.2172931824306*x       - we divide both sides of the equation by (2.2172931824306) to get x
100/2.2172931824306=x
45.10003494007=x
x=45.10003494007

now we have:
296.88 is 45.10003494007% of 658.27