170.3 is what percent of 5.425 - 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 5.425 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 5.425, so we can write it down as 100%=5.425.
4. We know, that x% equals 170.3 of the output value, so we can write it down as x%=170.3.
5. Now we have two simple equations:
1) 100%=5.425
2) x%=170.3
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%=5.425/170.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 170.3 is what percent of 5.425

100%/x%=5.425/170.3
(100/x)*x=(5.425/170.3)*x       - we multiply both sides of the equation by x
100=0.031855549031122*x       - we divide both sides of the equation by (0.031855549031122) to get x
100/0.031855549031122=x
3139.1705069124=x
x=3139.1705069124

now we have:
170.3 is 3139.1705069124% of 5.425