What is 11.761 percent of 34.21 - 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 34.21 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 34.21 is 100%, so we can write it down as 34.21=100%.
4. We know, that x is 11.761% of the output value, so we can write it down as x=11.761%.
5. Now we have two simple equations:
1) 34.21=100%
2) x=11.761%
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:
34.21/x=100%/11.761%
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 11.761% of 34.21

34.21/x=100/11.761
(34.21/x)*x=(100/11.761)*x       - we multiply both sides of the equation by x
34.21=8.5026783436783*x       - we divide both sides of the equation by (8.5026783436783) to get x
34.21/8.5026783436783=x
4.0234381=x
x=4.0234381

now we have:
11.761% of 34.21=4.0234381