347.99 is what percent of 402 - 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 402 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 402, so we can write it down as 100%=402.
4. We know, that x% equals 347.99 of the output value, so we can write it down as x%=347.99.
5. Now we have two simple equations:
1) 100%=402
2) x%=347.99
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%=402/347.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 347.99 is what percent of 402

100%/x%=402/347.99
(100/x)*x=(402/347.99)*x       - we multiply both sides of the equation by x
100=1.1552056093566*x       - we divide both sides of the equation by (1.1552056093566) to get x
100/1.1552056093566=x
86.564676616915=x
x=86.564676616915

now we have:
347.99 is 86.564676616915% of 402