74.93 is what percent of 510 - 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 510 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 510, so we can write it down as 100%=510.
4. We know, that x% equals 74.93 of the output value, so we can write it down as x%=74.93.
5. Now we have two simple equations:
1) 100%=510
2) x%=74.93
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%=510/74.93
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 74.93 is what percent of 510

100%/x%=510/74.93
(100/x)*x=(510/74.93)*x       - we multiply both sides of the equation by x
100=6.806352595756*x       - we divide both sides of the equation by (6.806352595756) to get x
100/6.806352595756=x
14.692156862745=x
x=14.692156862745

now we have:
74.93 is 14.692156862745% of 510