174.6 is what percent of 197.7 - 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 197.7 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 197.7, so we can write it down as 100%=197.7.
4. We know, that x% equals 174.6 of the output value, so we can write it down as x%=174.6.
5. Now we have two simple equations:
1) 100%=197.7
2) x%=174.6
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%=197.7/174.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 174.6 is what percent of 197.7

100%/x%=197.7/174.6
(100/x)*x=(197.7/174.6)*x       - we multiply both sides of the equation by x
100=1.1323024054983*x       - we divide both sides of the equation by (1.1323024054983) to get x
100/1.1323024054983=x
88.315629742033=x
x=88.315629742033

now we have:
174.6 is 88.315629742033% of 197.7