547.05 is what percent of 600 - 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 600 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 600, so we can write it down as 100%=600.
4. We know, that x% equals 547.05 of the output value, so we can write it down as x%=547.05.
5. Now we have two simple equations:
1) 100%=600
2) x%=547.05
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%=600/547.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 547.05 is what percent of 600

100%/x%=600/547.05
(100/x)*x=(600/547.05)*x       - we multiply both sides of the equation by x
100=1.0967918837401*x       - we divide both sides of the equation by (1.0967918837401) to get x
100/1.0967918837401=x
91.175=x
x=91.175

now we have:
547.05 is 91.175% of 600