126.7 is what percent of 357.65 - 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 357.65 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 357.65, so we can write it down as 100%=357.65.
4. We know, that x% equals 126.7 of the output value, so we can write it down as x%=126.7.
5. Now we have two simple equations:
1) 100%=357.65
2) x%=126.7
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%=357.65/126.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 126.7 is what percent of 357.65

100%/x%=357.65/126.7
(100/x)*x=(357.65/126.7)*x       - we multiply both sides of the equation by x
100=2.8228097868982*x       - we divide both sides of the equation by (2.8228097868982) to get x
100/2.8228097868982=x
35.425695512372=x
x=35.425695512372

now we have:
126.7 is 35.425695512372% of 357.65