52.43 is what percent of 51.92 - 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 51.92 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 51.92, so we can write it down as 100%=51.92.
4. We know, that x% equals 52.43 of the output value, so we can write it down as x%=52.43.
5. Now we have two simple equations:
1) 100%=51.92
2) x%=52.43
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%=51.92/52.43
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 52.43 is what percent of 51.92

100%/x%=51.92/52.43
(100/x)*x=(51.92/52.43)*x       - we multiply both sides of the equation by x
100=0.99027274461186*x       - we divide both sides of the equation by (0.99027274461186) to get x
100/0.99027274461186=x
100.98228043143=x
x=100.98228043143

now we have:
52.43 is 100.98228043143% of 51.92