170.14 is what percent of 496.84 - 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 496.84 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 496.84, so we can write it down as 100%=496.84.
4. We know, that x% equals 170.14 of the output value, so we can write it down as x%=170.14.
5. Now we have two simple equations:
1) 100%=496.84
2) x%=170.14
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%=496.84/170.14
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 170.14 is what percent of 496.84

100%/x%=496.84/170.14
(100/x)*x=(496.84/170.14)*x       - we multiply both sides of the equation by x
100=2.9201833783943*x       - we divide both sides of the equation by (2.9201833783943) to get x
100/2.9201833783943=x
34.244424764512=x
x=34.244424764512

now we have:
170.14 is 34.244424764512% of 496.84