545.75 is what percent of 699.38 - 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 699.38 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 699.38, so we can write it down as 100%=699.38.
4. We know, that x% equals 545.75 of the output value, so we can write it down as x%=545.75.
5. Now we have two simple equations:
1) 100%=699.38
2) x%=545.75
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%=699.38/545.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 545.75 is what percent of 699.38

100%/x%=699.38/545.75
(100/x)*x=(699.38/545.75)*x       - we multiply both sides of the equation by x
100=1.2815025194686*x       - we divide both sides of the equation by (1.2815025194686) to get x
100/1.2815025194686=x
78.033401012325=x
x=78.033401012325

now we have:
545.75 is 78.033401012325% of 699.38