7670.84 is what percent of 5402 - 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 5402 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 5402, so we can write it down as 100%=5402.
4. We know, that x% equals 7670.84 of the output value, so we can write it down as x%=7670.84.
5. Now we have two simple equations:
1) 100%=5402
2) x%=7670.84
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%=5402/7670.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7670.84 is what percent of 5402

100%/x%=5402/7670.84
(100/x)*x=(5402/7670.84)*x       - we multiply both sides of the equation by x
100=0.70422535211268*x       - we divide both sides of the equation by (0.70422535211268) to get x
100/0.70422535211268=x
142=x
x=142

now we have:
7670.84 is 142% of 5402