250.35 is what percent of 1961.21 - 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 1961.21 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 1961.21, so we can write it down as 100%=1961.21.
4. We know, that x% equals 250.35 of the output value, so we can write it down as x%=250.35.
5. Now we have two simple equations:
1) 100%=1961.21
2) x%=250.35
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%=1961.21/250.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 250.35 is what percent of 1961.21

100%/x%=1961.21/250.35
(100/x)*x=(1961.21/250.35)*x       - we multiply both sides of the equation by x
100=7.8338725783903*x       - we divide both sides of the equation by (7.8338725783903) to get x
100/7.8338725783903=x
12.765078701414=x
x=12.765078701414

now we have:
250.35 is 12.765078701414% of 1961.21