34.41 is what percent of 526 - 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 526 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 526, so we can write it down as 100%=526.
4. We know, that x% equals 34.41 of the output value, so we can write it down as x%=34.41.
5. Now we have two simple equations:
1) 100%=526
2) x%=34.41
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%=526/34.41
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 34.41 is what percent of 526

100%/x%=526/34.41
(100/x)*x=(526/34.41)*x       - we multiply both sides of the equation by x
100=15.286253995931*x       - we divide both sides of the equation by (15.286253995931) to get x
100/15.286253995931=x
6.541825095057=x
x=6.541825095057

now we have:
34.41 is 6.541825095057% of 526