427.35 is what percent of 2135 - 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 2135 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 2135, so we can write it down as 100%=2135.
4. We know, that x% equals 427.35 of the output value, so we can write it down as x%=427.35.
5. Now we have two simple equations:
1) 100%=2135
2) x%=427.35
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%=2135/427.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 427.35 is what percent of 2135

100%/x%=2135/427.35
(100/x)*x=(2135/427.35)*x       - we multiply both sides of the equation by x
100=4.995904995905*x       - we divide both sides of the equation by (4.995904995905) to get x
100/4.995904995905=x
20.016393442623=x
x=20.016393442623

now we have:
427.35 is 20.016393442623% of 2135