13.58 is what percent of 836.34 - 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 836.34 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 836.34, so we can write it down as 100%=836.34.
4. We know, that x% equals 13.58 of the output value, so we can write it down as x%=13.58.
5. Now we have two simple equations:
1) 100%=836.34
2) x%=13.58
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%=836.34/13.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.58 is what percent of 836.34

100%/x%=836.34/13.58
(100/x)*x=(836.34/13.58)*x       - we multiply both sides of the equation by x
100=61.586156111929*x       - we divide both sides of the equation by (61.586156111929) to get x
100/61.586156111929=x
1.6237415405218=x
x=1.6237415405218

now we have:
13.58 is 1.6237415405218% of 836.34