0.29 is what percent of 2.97 - 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 2.97 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 2.97, so we can write it down as 100%=2.97.
4. We know, that x% equals 0.29 of the output value, so we can write it down as x%=0.29.
5. Now we have two simple equations:
1) 100%=2.97
2) x%=0.29
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%=2.97/0.29
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.29 is what percent of 2.97

100%/x%=2.97/0.29
(100/x)*x=(2.97/0.29)*x       - we multiply both sides of the equation by x
100=10.241379310345*x       - we divide both sides of the equation by (10.241379310345) to get x
100/10.241379310345=x
9.7643097643098=x
x=9.7643097643098

now we have:
0.29 is 9.7643097643098% of 2.97