285.7 is what percent of 424.96 - 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 424.96 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 424.96, so we can write it down as 100%=424.96.
4. We know, that x% equals 285.7 of the output value, so we can write it down as x%=285.7.
5. Now we have two simple equations:
1) 100%=424.96
2) x%=285.7
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%=424.96/285.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 285.7 is what percent of 424.96

100%/x%=424.96/285.7
(100/x)*x=(424.96/285.7)*x       - we multiply both sides of the equation by x
100=1.4874343717186*x       - we divide both sides of the equation by (1.4874343717186) to get x
100/1.4874343717186=x
67.229856927711=x
x=67.229856927711

now we have:
285.7 is 67.229856927711% of 424.96