53.37 is what percent of 69.07 - 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 69.07 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 69.07, so we can write it down as 100%=69.07.
4. We know, that x% equals 53.37 of the output value, so we can write it down as x%=53.37.
5. Now we have two simple equations:
1) 100%=69.07
2) x%=53.37
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%=69.07/53.37
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 53.37 is what percent of 69.07

100%/x%=69.07/53.37
(100/x)*x=(69.07/53.37)*x       - we multiply both sides of the equation by x
100=1.2941727562301*x       - we divide both sides of the equation by (1.2941727562301) to get x
100/1.2941727562301=x
77.269436803243=x
x=77.269436803243

now we have:
53.37 is 77.269436803243% of 69.07