64.09 is what percent of 526.05 - 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 526.05 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 526.05, so we can write it down as 100%=526.05.
4. We know, that x% equals 64.09 of the output value, so we can write it down as x%=64.09.
5. Now we have two simple equations:
1) 100%=526.05
2) x%=64.09
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%=526.05/64.09
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 64.09 is what percent of 526.05

100%/x%=526.05/64.09
(100/x)*x=(526.05/64.09)*x       - we multiply both sides of the equation by x
100=8.2079887657981*x       - we divide both sides of the equation by (8.2079887657981) to get x
100/8.2079887657981=x
12.183252542534=x
x=12.183252542534

now we have:
64.09 is 12.183252542534% of 526.05