153.7 is what percent of 106.57 - 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 106.57 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 106.57, so we can write it down as 100%=106.57.
4. We know, that x% equals 153.7 of the output value, so we can write it down as x%=153.7.
5. Now we have two simple equations:
1) 100%=106.57
2) x%=153.7
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%=106.57/153.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 153.7 is what percent of 106.57

100%/x%=106.57/153.7
(100/x)*x=(106.57/153.7)*x       - we multiply both sides of the equation by x
100=0.69336369551074*x       - we divide both sides of the equation by (0.69336369551074) to get x
100/0.69336369551074=x
144.2244534109=x
x=144.2244534109

now we have:
153.7 is 144.2244534109% of 106.57