149.42 is what percent of 175.8 - 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 175.8 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 175.8, so we can write it down as 100%=175.8.
4. We know, that x% equals 149.42 of the output value, so we can write it down as x%=149.42.
5. Now we have two simple equations:
1) 100%=175.8
2) x%=149.42
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%=175.8/149.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 149.42 is what percent of 175.8

100%/x%=175.8/149.42
(100/x)*x=(175.8/149.42)*x       - we multiply both sides of the equation by x
100=1.176549324053*x       - we divide both sides of the equation by (1.176549324053) to get x
100/1.176549324053=x
84.994311717861=x
x=84.994311717861

now we have:
149.42 is 84.994311717861% of 175.8