642.91 is what percent of 2370.45 - 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 2370.45 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 2370.45, so we can write it down as 100%=2370.45.
4. We know, that x% equals 642.91 of the output value, so we can write it down as x%=642.91.
5. Now we have two simple equations:
1) 100%=2370.45
2) x%=642.91
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%=2370.45/642.91
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 642.91 is what percent of 2370.45

100%/x%=2370.45/642.91
(100/x)*x=(2370.45/642.91)*x       - we multiply both sides of the equation by x
100=3.6870635081116*x       - we divide both sides of the equation by (3.6870635081116) to get x
100/3.6870635081116=x
27.1218545002=x
x=27.1218545002

now we have:
642.91 is 27.1218545002% of 2370.45