What is 379.99 percent of 429.99 - 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 429.99 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 429.99 is 100%, so we can write it down as 429.99=100%.
4. We know, that x is 379.99% of the output value, so we can write it down as x=379.99%.
5. Now we have two simple equations:
1) 429.99=100%
2) x=379.99%
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:
429.99/x=100%/379.99%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 379.99% of 429.99

429.99/x=100/379.99
(429.99/x)*x=(100/379.99)*x       - we multiply both sides of the equation by x
429.99=0.26316482012685*x       - we divide both sides of the equation by (0.26316482012685) to get x
429.99/0.26316482012685=x
1633.919001=x
x=1633.919001

now we have:
379.99% of 429.99=1633.919001