26.69 is what percent of 296.59 - 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 296.59 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 296.59, so we can write it down as 100%=296.59.
4. We know, that x% equals 26.69 of the output value, so we can write it down as x%=26.69.
5. Now we have two simple equations:
1) 100%=296.59
2) x%=26.69
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%=296.59/26.69
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 26.69 is what percent of 296.59

100%/x%=296.59/26.69
(100/x)*x=(296.59/26.69)*x       - we multiply both sides of the equation by x
100=11.112401648558*x       - we divide both sides of the equation by (11.112401648558) to get x
100/11.112401648558=x
8.9989547860683=x
x=8.9989547860683

now we have:
26.69 is 8.9989547860683% of 296.59