170.02 is what percent of 320.3 - 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 320.3 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 320.3, so we can write it down as 100%=320.3.
4. We know, that x% equals 170.02 of the output value, so we can write it down as x%=170.02.
5. Now we have two simple equations:
1) 100%=320.3
2) x%=170.02
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%=320.3/170.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 170.02 is what percent of 320.3

100%/x%=320.3/170.02
(100/x)*x=(320.3/170.02)*x       - we multiply both sides of the equation by x
100=1.8838960122339*x       - we divide both sides of the equation by (1.8838960122339) to get x
100/1.8838960122339=x
53.081486106775=x
x=53.081486106775

now we have:
170.02 is 53.081486106775% of 320.3