17.7 is what percent of 2.9 - 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 2.9 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 2.9, so we can write it down as 100%=2.9.
4. We know, that x% equals 17.7 of the output value, so we can write it down as x%=17.7.
5. Now we have two simple equations:
1) 100%=2.9
2) x%=17.7
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%=2.9/17.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 17.7 is what percent of 2.9

100%/x%=2.9/17.7
(100/x)*x=(2.9/17.7)*x       - we multiply both sides of the equation by x
100=0.1638418079096*x       - we divide both sides of the equation by (0.1638418079096) to get x
100/0.1638418079096=x
610.34482758621=x
x=610.34482758621

now we have:
17.7 is 610.34482758621% of 2.9