700.57 is what percent of 1.287 - 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 1.287 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 1.287, so we can write it down as 100%=1.287.
4. We know, that x% equals 700.57 of the output value, so we can write it down as x%=700.57.
5. Now we have two simple equations:
1) 100%=1.287
2) x%=700.57
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%=1.287/700.57
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 700.57 is what percent of 1.287

100%/x%=1.287/700.57
(100/x)*x=(1.287/700.57)*x       - we multiply both sides of the equation by x
100=0.001837075524216*x       - we divide both sides of the equation by (0.001837075524216) to get x
100/0.001837075524216=x
54434.343434343=x
x=54434.343434343

now we have:
700.57 is 54434.343434343% of 1.287