154.25 is what percent of 175 - 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 175 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 175, so we can write it down as 100%=175.
4. We know, that x% equals 154.25 of the output value, so we can write it down as x%=154.25.
5. Now we have two simple equations:
1) 100%=175
2) x%=154.25
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%=175/154.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 154.25 is what percent of 175

100%/x%=175/154.25
(100/x)*x=(175/154.25)*x       - we multiply both sides of the equation by x
100=1.1345218800648*x       - we divide both sides of the equation by (1.1345218800648) to get x
100/1.1345218800648=x
88.142857142857=x
x=88.142857142857

now we have:
154.25 is 88.142857142857% of 175