175.18 is what percent of 700.7 - 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 700.7 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 700.7, so we can write it down as 100%=700.7.
4. We know, that x% equals 175.18 of the output value, so we can write it down as x%=175.18.
5. Now we have two simple equations:
1) 100%=700.7
2) x%=175.18
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%=700.7/175.18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 175.18 is what percent of 700.7

100%/x%=700.7/175.18
(100/x)*x=(700.7/175.18)*x       - we multiply both sides of the equation by x
100=3.9998858317159*x       - we divide both sides of the equation by (3.9998858317159) to get x
100/3.9998858317159=x
25.000713572142=x
x=25.000713572142

now we have:
175.18 is 25.000713572142% of 700.7