177.74 is what percent of 197.49 - 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 197.49 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 197.49, so we can write it down as 100%=197.49.
4. We know, that x% equals 177.74 of the output value, so we can write it down as x%=177.74.
5. Now we have two simple equations:
1) 100%=197.49
2) x%=177.74
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%=197.49/177.74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 177.74 is what percent of 197.49

100%/x%=197.49/177.74
(100/x)*x=(197.49/177.74)*x       - we multiply both sides of the equation by x
100=1.1111173624395*x       - we divide both sides of the equation by (1.1111173624395) to get x
100/1.1111173624395=x
89.999493645248=x
x=89.999493645248

now we have:
177.74 is 89.999493645248% of 197.49