51.29 is what percent of 69.697 - 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 69.697 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 69.697, so we can write it down as 100%=69.697.
4. We know, that x% equals 51.29 of the output value, so we can write it down as x%=51.29.
5. Now we have two simple equations:
1) 100%=69.697
2) x%=51.29
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%=69.697/51.29
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 51.29 is what percent of 69.697

100%/x%=69.697/51.29
(100/x)*x=(69.697/51.29)*x       - we multiply both sides of the equation by x
100=1.3588808734646*x       - we divide both sides of the equation by (1.3588808734646) to get x
100/1.3588808734646=x
73.589968004362=x
x=73.589968004362

now we have:
51.29 is 73.589968004362% of 69.697