34.9 is what percent of 19.8 - 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 19.8 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 19.8, so we can write it down as 100%=19.8.
4. We know, that x% equals 34.9 of the output value, so we can write it down as x%=34.9.
5. Now we have two simple equations:
1) 100%=19.8
2) x%=34.9
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%=19.8/34.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 34.9 is what percent of 19.8

100%/x%=19.8/34.9
(100/x)*x=(19.8/34.9)*x       - we multiply both sides of the equation by x
100=0.56733524355301*x       - we divide both sides of the equation by (0.56733524355301) to get x
100/0.56733524355301=x
176.26262626263=x
x=176.26262626263

now we have:
34.9 is 176.26262626263% of 19.8