29.8 is what percent of 34.7 - 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 34.7 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 34.7, so we can write it down as 100%=34.7.
4. We know, that x% equals 29.8 of the output value, so we can write it down as x%=29.8.
5. Now we have two simple equations:
1) 100%=34.7
2) x%=29.8
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%=34.7/29.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 29.8 is what percent of 34.7

100%/x%=34.7/29.8
(100/x)*x=(34.7/29.8)*x       - we multiply both sides of the equation by x
100=1.1644295302013*x       - we divide both sides of the equation by (1.1644295302013) to get x
100/1.1644295302013=x
85.878962536023=x
x=85.878962536023

now we have:
29.8 is 85.878962536023% of 34.7