268.67 is what percent of 5970.51 - 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 5970.51 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 5970.51, so we can write it down as 100%=5970.51.
4. We know, that x% equals 268.67 of the output value, so we can write it down as x%=268.67.
5. Now we have two simple equations:
1) 100%=5970.51
2) x%=268.67
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%=5970.51/268.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 268.67 is what percent of 5970.51

100%/x%=5970.51/268.67
(100/x)*x=(5970.51/268.67)*x       - we multiply both sides of the equation by x
100=22.222466222503*x       - we divide both sides of the equation by (22.222466222503) to get x
100/22.222466222503=x
4.4999505904856=x
x=4.4999505904856

now we have:
268.67 is 4.4999505904856% of 5970.51