523.1 is what percent of 525.4 - 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 525.4 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 525.4, so we can write it down as 100%=525.4.
4. We know, that x% equals 523.1 of the output value, so we can write it down as x%=523.1.
5. Now we have two simple equations:
1) 100%=525.4
2) x%=523.1
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%=525.4/523.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 523.1 is what percent of 525.4

100%/x%=525.4/523.1
(100/x)*x=(525.4/523.1)*x       - we multiply both sides of the equation by x
100=1.0043968648442*x       - we divide both sides of the equation by (1.0043968648442) to get x
100/1.0043968648442=x
99.562238294633=x
x=99.562238294633

now we have:
523.1 is 99.562238294633% of 525.4