29.7 is what percent of 29.78 - 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 29.78 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 29.78, so we can write it down as 100%=29.78.
4. We know, that x% equals 29.7 of the output value, so we can write it down as x%=29.7.
5. Now we have two simple equations:
1) 100%=29.78
2) x%=29.7
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%=29.78/29.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 29.7 is what percent of 29.78

100%/x%=29.78/29.7
(100/x)*x=(29.78/29.7)*x       - we multiply both sides of the equation by x
100=1.0026936026936*x       - we divide both sides of the equation by (1.0026936026936) to get x
100/1.0026936026936=x
99.731363331095=x
x=99.731363331095

now we have:
29.7 is 99.731363331095% of 29.78