185.25 is what percent of 526.25 - 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 526.25 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 526.25, so we can write it down as 100%=526.25.
4. We know, that x% equals 185.25 of the output value, so we can write it down as x%=185.25.
5. Now we have two simple equations:
1) 100%=526.25
2) x%=185.25
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%=526.25/185.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 185.25 is what percent of 526.25

100%/x%=526.25/185.25
(100/x)*x=(526.25/185.25)*x       - we multiply both sides of the equation by x
100=2.84075573549*x       - we divide both sides of the equation by (2.84075573549) to get x
100/2.84075573549=x
35.2019002375=x
x=35.2019002375

now we have:
185.25 is 35.2019002375% of 526.25