33.42 is what percent of 1768.49 - 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 1768.49 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 1768.49, so we can write it down as 100%=1768.49.
4. We know, that x% equals 33.42 of the output value, so we can write it down as x%=33.42.
5. Now we have two simple equations:
1) 100%=1768.49
2) x%=33.42
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%=1768.49/33.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 33.42 is what percent of 1768.49

100%/x%=1768.49/33.42
(100/x)*x=(1768.49/33.42)*x       - we multiply both sides of the equation by x
100=52.917115499701*x       - we divide both sides of the equation by (52.917115499701) to get x
100/52.917115499701=x
1.8897477509061=x
x=1.8897477509061

now we have:
33.42 is 1.8897477509061% of 1768.49