404.87 is what percent of 424.37 - 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 424.37 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 424.37, so we can write it down as 100%=424.37.
4. We know, that x% equals 404.87 of the output value, so we can write it down as x%=404.87.
5. Now we have two simple equations:
1) 100%=424.37
2) x%=404.87
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%=424.37/404.87
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 404.87 is what percent of 424.37

100%/x%=424.37/404.87
(100/x)*x=(424.37/404.87)*x       - we multiply both sides of the equation by x
100=1.0481636080717*x       - we divide both sides of the equation by (1.0481636080717) to get x
100/1.0481636080717=x
95.40495322478=x
x=95.40495322478

now we have:
404.87 is 95.40495322478% of 424.37