577.16 is what percent of 1335 - 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 1335 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 1335, so we can write it down as 100%=1335.
4. We know, that x% equals 577.16 of the output value, so we can write it down as x%=577.16.
5. Now we have two simple equations:
1) 100%=1335
2) x%=577.16
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%=1335/577.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 577.16 is what percent of 1335

100%/x%=1335/577.16
(100/x)*x=(1335/577.16)*x       - we multiply both sides of the equation by x
100=2.3130501074226*x       - we divide both sides of the equation by (2.3130501074226) to get x
100/2.3130501074226=x
43.232958801498=x
x=43.232958801498

now we have:
577.16 is 43.232958801498% of 1335