189.2 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 189.2 of the output value, so we can write it down as x%=189.2.
5. Now we have two simple equations:
1) 100%=197.7
2) x%=189.2
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%=197.7/189.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 189.2 is what percent of 197.7

100%/x%=197.7/189.2
(100/x)*x=(197.7/189.2)*x       - we multiply both sides of the equation by x
100=1.0449260042283*x       - we divide both sides of the equation by (1.0449260042283) to get x
100/1.0449260042283=x
95.700556398584=x
x=95.700556398584

now we have:
189.2 is 95.700556398584% of 197.7