175.78 is what percent of 140.62 - 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 140.62 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 140.62, so we can write it down as 100%=140.62.
4. We know, that x% equals 175.78 of the output value, so we can write it down as x%=175.78.
5. Now we have two simple equations:
1) 100%=140.62
2) x%=175.78
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%=140.62/175.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 175.78 is what percent of 140.62

100%/x%=140.62/175.78
(100/x)*x=(140.62/175.78)*x       - we multiply both sides of the equation by x
100=0.79997724428263*x       - we divide both sides of the equation by (0.79997724428263) to get x
100/0.79997724428263=x
125.00355568198=x
x=125.00355568198

now we have:
175.78 is 125.00355568198% of 140.62