45 is what percent of 521 - 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 521 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 521, so we can write it down as 100%=521.
4. We know, that x% equals 45 of the output value, so we can write it down as x%=45.
5. Now we have two simple equations:
1) 100%=521
2) x%=45
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%=521/45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45 is what percent of 521

100%/x%=521/45
(100/x)*x=(521/45)*x       - we multiply both sides of the equation by x
100=11.577777777778*x       - we divide both sides of the equation by (11.577777777778) to get x
100/11.577777777778=x
8.637236084453=x
x=8.637236084453

now we have:
45 is 8.637236084453% of 521