4.21 is what percent of 34496.14 - 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 34496.14 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 34496.14, so we can write it down as 100%=34496.14.
4. We know, that x% equals 4.21 of the output value, so we can write it down as x%=4.21.
5. Now we have two simple equations:
1) 100%=34496.14
2) x%=4.21
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%=34496.14/4.21
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.21 is what percent of 34496.14

100%/x%=34496.14/4.21
(100/x)*x=(34496.14/4.21)*x       - we multiply both sides of the equation by x
100=8193.8574821853*x       - we divide both sides of the equation by (8193.8574821853) to get x
100/8193.8574821853=x
0.012204264013307=x
x=0.012204264013307

now we have:
4.21 is 0.012204264013307% of 34496.14