155.31 is what percent of 471.12 - 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 471.12 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 471.12, so we can write it down as 100%=471.12.
4. We know, that x% equals 155.31 of the output value, so we can write it down as x%=155.31.
5. Now we have two simple equations:
1) 100%=471.12
2) x%=155.31
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%=471.12/155.31
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 155.31 is what percent of 471.12

100%/x%=471.12/155.31
(100/x)*x=(471.12/155.31)*x       - we multiply both sides of the equation by x
100=3.033417036894*x       - we divide both sides of the equation by (3.033417036894) to get x
100/3.033417036894=x
32.966123280693=x
x=32.966123280693

now we have:
155.31 is 32.966123280693% of 471.12