1070.25 is what percent of 3692.75 - 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 3692.75 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 3692.75, so we can write it down as 100%=3692.75.
4. We know, that x% equals 1070.25 of the output value, so we can write it down as x%=1070.25.
5. Now we have two simple equations:
1) 100%=3692.75
2) x%=1070.25
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%=3692.75/1070.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1070.25 is what percent of 3692.75

100%/x%=3692.75/1070.25
(100/x)*x=(3692.75/1070.25)*x       - we multiply both sides of the equation by x
100=3.4503620649381*x       - we divide both sides of the equation by (3.4503620649381) to get x
100/3.4503620649381=x
28.982465642137=x
x=28.982465642137

now we have:
1070.25 is 28.982465642137% of 3692.75