155.3 is what percent of 416.7 - 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 416.7 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 416.7, so we can write it down as 100%=416.7.
4. We know, that x% equals 155.3 of the output value, so we can write it down as x%=155.3.
5. Now we have two simple equations:
1) 100%=416.7
2) x%=155.3
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%=416.7/155.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 155.3 is what percent of 416.7

100%/x%=416.7/155.3
(100/x)*x=(416.7/155.3)*x       - we multiply both sides of the equation by x
100=2.683193818416*x       - we divide both sides of the equation by (2.683193818416) to get x
100/2.683193818416=x
37.269018478522=x
x=37.269018478522

now we have:
155.3 is 37.269018478522% of 416.7