526.58 is what percent of 12.926 - 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 12.926 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 12.926, so we can write it down as 100%=12.926.
4. We know, that x% equals 526.58 of the output value, so we can write it down as x%=526.58.
5. Now we have two simple equations:
1) 100%=12.926
2) x%=526.58
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%=12.926/526.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 526.58 is what percent of 12.926

100%/x%=12.926/526.58
(100/x)*x=(12.926/526.58)*x       - we multiply both sides of the equation by x
100=0.024547077367162*x       - we divide both sides of the equation by (0.024547077367162) to get x
100/0.024547077367162=x
4073.8047346434=x
x=4073.8047346434

now we have:
526.58 is 4073.8047346434% of 12.926