166.75 is what percent of 1550 - 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 1550 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 1550, so we can write it down as 100%=1550.
4. We know, that x% equals 166.75 of the output value, so we can write it down as x%=166.75.
5. Now we have two simple equations:
1) 100%=1550
2) x%=166.75
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%=1550/166.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 166.75 is what percent of 1550

100%/x%=1550/166.75
(100/x)*x=(1550/166.75)*x       - we multiply both sides of the equation by x
100=9.2953523238381*x       - we divide both sides of the equation by (9.2953523238381) to get x
100/9.2953523238381=x
10.758064516129=x
x=10.758064516129

now we have:
166.75 is 10.758064516129% of 1550