429.2 is what percent of 4387 - 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 4387 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 4387, so we can write it down as 100%=4387.
4. We know, that x% equals 429.2 of the output value, so we can write it down as x%=429.2.
5. Now we have two simple equations:
1) 100%=4387
2) x%=429.2
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%=4387/429.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 429.2 is what percent of 4387

100%/x%=4387/429.2
(100/x)*x=(4387/429.2)*x       - we multiply both sides of the equation by x
100=10.221342031687*x       - we divide both sides of the equation by (10.221342031687) to get x
100/10.221342031687=x
9.7834511055391=x
x=9.7834511055391

now we have:
429.2 is 9.7834511055391% of 4387