170.98 is what percent of 336.3 - 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 336.3 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 336.3, so we can write it down as 100%=336.3.
4. We know, that x% equals 170.98 of the output value, so we can write it down as x%=170.98.
5. Now we have two simple equations:
1) 100%=336.3
2) x%=170.98
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%=336.3/170.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 170.98 is what percent of 336.3

100%/x%=336.3/170.98
(100/x)*x=(336.3/170.98)*x       - we multiply both sides of the equation by x
100=1.9668967130659*x       - we divide both sides of the equation by (1.9668967130659) to get x
100/1.9668967130659=x
50.841510556051=x
x=50.841510556051

now we have:
170.98 is 50.841510556051% of 336.3