197.14 is what percent of 305.34 - 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 305.34 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 305.34, so we can write it down as 100%=305.34.
4. We know, that x% equals 197.14 of the output value, so we can write it down as x%=197.14.
5. Now we have two simple equations:
1) 100%=305.34
2) x%=197.14
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%=305.34/197.14
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 197.14 is what percent of 305.34

100%/x%=305.34/197.14
(100/x)*x=(305.34/197.14)*x       - we multiply both sides of the equation by x
100=1.5488485340367*x       - we divide both sides of the equation by (1.5488485340367) to get x
100/1.5488485340367=x
64.564092487064=x
x=64.564092487064

now we have:
197.14 is 64.564092487064% of 305.34