31 is what percent of 155.3 - 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 155.3 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 155.3, so we can write it down as 100%=155.3.
4. We know, that x% equals 31 of the output value, so we can write it down as x%=31.
5. Now we have two simple equations:
1) 100%=155.3
2) x%=31
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%=155.3/31
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 31 is what percent of 155.3

100%/x%=155.3/31
(100/x)*x=(155.3/31)*x       - we multiply both sides of the equation by x
100=5.0096774193548*x       - we divide both sides of the equation by (5.0096774193548) to get x
100/5.0096774193548=x
19.961365099807=x
x=19.961365099807

now we have:
31 is 19.961365099807% of 155.3