51.76 is what percent of 53.45 - 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 53.45 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 53.45, so we can write it down as 100%=53.45.
4. We know, that x% equals 51.76 of the output value, so we can write it down as x%=51.76.
5. Now we have two simple equations:
1) 100%=53.45
2) x%=51.76
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%=53.45/51.76
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 51.76 is what percent of 53.45

100%/x%=53.45/51.76
(100/x)*x=(53.45/51.76)*x       - we multiply both sides of the equation by x
100=1.0326506955178*x       - we divide both sides of the equation by (1.0326506955178) to get x
100/1.0326506955178=x
96.838166510758=x
x=96.838166510758

now we have:
51.76 is 96.838166510758% of 53.45