175.78 is what percent of 402 - 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 402 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 402, so we can write it down as 100%=402.
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%=402
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%=402/175.78
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 402

100%/x%=402/175.78
(100/x)*x=(402/175.78)*x       - we multiply both sides of the equation by x
100=2.28694959609*x       - we divide both sides of the equation by (2.28694959609) to get x
100/2.28694959609=x
43.7263681592=x
x=43.7263681592

now we have:
175.78 is 43.7263681592% of 402