21.34 is what percent of 296 - 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 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, so we can write it down as 100%=296.
4. We know, that x% equals 21.34 of the output value, so we can write it down as x%=21.34.
5. Now we have two simple equations:
1) 100%=296
2) x%=21.34
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%=296/21.34
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 21.34 is what percent of 296

100%/x%=296/21.34
(100/x)*x=(296/21.34)*x       - we multiply both sides of the equation by x
100=13.870665417057*x       - we divide both sides of the equation by (13.870665417057) to get x
100/13.870665417057=x
7.2094594594595=x
x=7.2094594594595

now we have:
21.34 is 7.2094594594595% of 296