155.34 is what percent of 266.01 - 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 266.01 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 266.01, so we can write it down as 100%=266.01.
4. We know, that x% equals 155.34 of the output value, so we can write it down as x%=155.34.
5. Now we have two simple equations:
1) 100%=266.01
2) x%=155.34
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%=266.01/155.34
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 155.34 is what percent of 266.01

100%/x%=266.01/155.34
(100/x)*x=(266.01/155.34)*x       - we multiply both sides of the equation by x
100=1.7124372344535*x       - we divide both sides of the equation by (1.7124372344535) to get x
100/1.7124372344535=x
58.396300890944=x
x=58.396300890944

now we have:
155.34 is 58.396300890944% of 266.01