149.92 is what percent of 175.9 - 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 175.9 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 175.9, so we can write it down as 100%=175.9.
4. We know, that x% equals 149.92 of the output value, so we can write it down as x%=149.92.
5. Now we have two simple equations:
1) 100%=175.9
2) x%=149.92
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%=175.9/149.92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 149.92 is what percent of 175.9

100%/x%=175.9/149.92
(100/x)*x=(175.9/149.92)*x       - we multiply both sides of the equation by x
100=1.1732924226254*x       - we divide both sides of the equation by (1.1732924226254) to get x
100/1.1732924226254=x
85.230244457078=x
x=85.230244457078

now we have:
149.92 is 85.230244457078% of 175.9