51.74 is what percent of 225.65 - 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 225.65 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 225.65, so we can write it down as 100%=225.65.
4. We know, that x% equals 51.74 of the output value, so we can write it down as x%=51.74.
5. Now we have two simple equations:
1) 100%=225.65
2) x%=51.74
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%=225.65/51.74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 51.74 is what percent of 225.65

100%/x%=225.65/51.74
(100/x)*x=(225.65/51.74)*x       - we multiply both sides of the equation by x
100=4.3612292230383*x       - we divide both sides of the equation by (4.3612292230383) to get x
100/4.3612292230383=x
22.929315311323=x
x=22.929315311323

now we have:
51.74 is 22.929315311323% of 225.65